Prof. Dr. Mubariz Garayev

Bio

Dr. Sc. in Analysis: Some questions of Operator Theory and Banach algebras"- Academy of Sciences of Azerbaijan, Institue of Mathematics and Mechanics (IMM),

CV Text

Education:

2013…" Some questions of Operator Theory and Banach algebras"- Academy of Sciences of Azerbaijan, Institue of Mathematics and Mechanics (IMM),Doctor of Science(Analysis).
1992-…: “Addition of spectral multiplicities and invariant subspaces”, Academy of Sciences of Azerbaijan, Institue of Mathematics and Mechanics (IMM), Ph.D.(Analysis)
1984-1987…: Leningrad Branch. Steklov Mathematical Institute, Leningrad (LBMI), Postgraduater Student. (Analysis), Scientific Advisiors: Prof. N.K.Nikolski and Prof.V.I.Vasyunin
1980 - 1983-…: Leningrad Branch. Steklov Mathematical Institute, Leningrad (LBMI), M.Sc. (Analysis), Scientific Advisiors: Prof. N.K.Nikolski .
1974-1979: Azerbaijan State University, B.Sc. in Mathematics.

Work Experience:
1988-1996---Ass.Prof.,IMM Academy of Sciences of Azerbaijan
1996-2001---Assoc.Prof., IMM Academy of Sciences of Azerbaijan
2001-2005---Visiting Professor, Suleyman Demirel University,Depart.Mathematics
2006-2012 Full Professor, Suleyman Demirel University, Isparta Vocational School.
2012—present: Professor of Mathematics in the Department of Mathematics, College of Science, King Saud University.

Selected Recent Publications:
1. Karaev, M.T., Berezin symbols and Schatten-von Neuman classes, (Russian) Matematicheskie Zametki, 72(2002), 207-215.
2. Karaev, M.T., Mustafayev, H.S., On some properties of Deddens algebras, Rocky Mountain. J. Math., 33(3)(2003), 915-926.
3. Karaev, M.T. ,Tuna, H., Description of maximal ideal space of some Banach algebra with multiplication as Duhamel product, Complex variables: Theory and applications, 49, no.6, (2004), 449-457
4. Karaev, M.T., Pehlivan, S., Some results for quadratic elements of a Banach algebra, Glasgow Math. J., 46(3) (2004), 431-441.
5. Karaev, M.T., Closed ideals in C1 with the Duhamel product as multiplication, J. Math. Anal. Appl., 300(2)(2004), 297-302.
6. Karaev, M.T., New proofs of the Haagerup de Harpe inequality, Math. Notes, 75(5)(2004), 731-733. Translation from Matem. Zametki, 75(5)(2004), 787-788.
7. Karaev, M.T., Functional analysis proofs of Abel.s theorems, Proc. Amer. Math. Soc., 132(8)(2004), 2327-2329.
8. Karaev, M.T., The numerical range of a nilpotent operator on a Hilbert space, Proc. Amer. Math. Soc., 132(8)(2004), 2321-2326.
9. Pehlivan, S., Karaev, M.T., Some results related with statistical convergence and Berezin symbols, J. Math. Anal. Appl., 299(2)(2004), 333-340.
10. Karaev, M.T. ,Saltan, S., Some results on Berezin symbols, Complex variables: Theory and applications. 50, no.3, (2005),185-193
11. Karaev, M.T., Saltan S., A Banach algebra structure for Wiener algebra W(D) of the disc, Complex variables: Theory and applications, v.50, no 4 (2005), 299-305.
12. Karaev, M.T., Invariant subspaces, cyclic vectors, commutant and extended eigenvectors of some convolution operators, (English) Methods of Functional Analysis and Topology, v.11, n1(2005), 48-59.
13. Karaev, M.T., On some applications of the ordinary and extended Duhamel products, Siberian Mathematical Journal, 46(3)(2005), 431-442.
14. Karaev, M.T., On some problems related to Berezin symbols, Comptes Rendus Acad. Sci. Paris Ser I, 340(2005), 715-718.
15. Karaev, M.T., Corrigendum to "On the Spectral Multiplicity of a Direct Sum of Operators, Colloquium Mathematicum, 104(1)(2006), 105-112:", Colloq. Math., 106(2); 2006; p.325:
16. Karaev, M.T., On the Spectral Multiplicity of a Direct Sum of Operators, Colloquium mathematicum, 104(1)(2006); 105 - 112:
17. Karaev, M.T., On extended eigenvalues and eigenvectors of some operator classes, Proc. Amer. Math. Soc.,134(2006), 2383-2392.
18. Karaev, M.T., New proof of Nagnibida's theorem, J. Function Spaces and Applications, 4(2006), 85-90.
19. Karaev, M.T., Tuna H., On some applications of Duhamel product, Linear and multilinear algebra, 54(4)(2006), 301-311.
20. Karaev, M.T., Berezin Symbol and Invertibility of Operators on the Functional Hilbert spaces, Journal of Functional Analysis, 238(2006), 181-192.
21. Karaev, M.T., On estimate for numerical radius of some contractions, Ukrainian Mathematical Journal, 58(10)(2006), 1512-1516.
22. Karaev, M.T., On the proof of Beurling's theorem on z-invariant subspaces, Expositiones Mathematicae, 25(2007), 265-267.
23. Karaev, M.T., Banach Algebra Technique for Proving an Addition Formula for Spectral Multiplicities of Sets of Operators, Functional Analysis and Its Applications, 41(1)(2007), 76-78.
24. Karaev, M.T., On Beurling-Arveson type theorem for some functional Hilbert spaces and related questions, Integral Equat. Oper. Theory, 62(1)(2008), 77-84.
25. Karaev, M.T., On the Riccati equations, Monatshefte für Mathematik, 155(2)(2008), 161-166.
26. Karaev, M.T., Banach Algebra Techniques for spectral multiplicity, Archiv der Math., 93(2009),147-152.
27. Karaev,M.T., e-convergence and related problem,Comptes Rendus Mathematique,348(2010),1059-1062.
28. Karaev, M.T., On the numerical radius of some C_00 contractions, Linear Algebra and its Applications, 431(5-7)(2009), 818-822.
29. Karaev,M.T.,Iskenderov, Numerical range and numerical radius for some operators,Linear Algebra and its Applications,432(2010),3149-3158.
30. Karaev,M.T.,Zeltser,M.,On Abel convergence of double sequences,Numerical Functional Analysis and Optimization,31(2010),1185-1190.
31. Karaev,M.T., Gürdal,M., Saltan,S., Some applications of Banach algebra techniques, Math.Nachrishten,284(2011),1678-1689.
32. Karaev, M.T., Gürdal,M., Strongly splitting weighted shift operators on Banach spaces and unicellularity, Operators and Matrices, 1(2011),157-171.
33. Karaev,M.T., Domination conditions and spectral multiplicity of operators, Acta Math.Hungarica,134(2012),79-98.
34. Karaev,M.T., A characterization of some function classes, J.Function Spaces and Applications,ArticleID 796798,1-5,2012.
35. Karaev,M.T., Use of reproducing kernels and Berezin symbols technique in some questions of operator theory, Forum Math.(to appear).
36. Ash,J.M., Karaev,M.T., On the boundary behavior of special classes of C^^- functions and analytic functions,Intenational Math.Forum.7(2012),n.4.,153 -166.
37. Chalendar,I.,Fricain,E.,Gürdal,M.,and Karaev M.T., Compactness and Berezin symbols, Acta Sci.Math.(Szeged), 78 (2012), no. 1-2, 315–329.

38.Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, Suna Some concrete operators and their properties. Turkish J. Math. 39 (2015), no. 6, 970–989.
39.Guediri, Hocine; Garayev, Mubariz T.; Sadraoui, Houcine The Bergman space as a Banach algebra. New York J. Math. 21 (2015), 339–350
40.Garayev, Mubariz T. Two applications of the Nordgren-Rosenthal theorem. Numer. Funct. Anal. Optim. 36 (2015), no. 7, 856–866
41.Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, Suna; Yamanci, Ulaş dist -formulas and Toeplitz operators. Ann. Funct. Anal. 6 (2015), no. 1, 221–226.
42.Gürdal, M.; Garayev, M. T.; Saltan, S.; Yamancı, U. On some numerical characteristics of operators. Arab J. Math. Sci. 21 (2015), no. 1, 118–126.
43.Karaev, Mubariz T.; Saltan, Suna; Kunt, Tevfik Discrete Duhamel product, restriction of weighted shift operators and related problems. New York J. Math. 20 (2014), 831–843.
44.Gürdal, M.; Garayev, M. T.; Saltan, S. Basisity problem and weighted shift operators. Acta 4Math. Sci. Ser. B Engl. Ed. 34 (2014), no. 5, 1655–1660.
45.Karaev, Mubariz T.; Gürdal, Mehmet; Yamancı, Ulaş Some results related with Berezin symbols and Toeplitz operators. Math. Inequal. Appl. 17 (2014), no. 3, 1031–1045
46.Karaev, Mubariz T. Erratum: Use of reproducing kernels and Berezin symbols technique in some questions of operator theory [Forum Math., DOI 10.1515/FORM.2011.073]]. Forum Math. 25 (2013), no. 5, 1107.
47.Karaev, M. T. Reproducing kernels and Berezin symbols techniques in various questions of operator theory. Complex Anal. Oper. Theory 7 (2013), no. 4, 983–1018.
48.Karaev, Mubariz T. Tauberian-type theorem for (e) -convergent sequences. C. R. Math. Acad. Sci. Paris 351 (2013), no. 5-6, 177–179
49.Karaev, Mubariz T.; Iskenderov, Nizameddin Sh. Berezin number of operators and related questions. Methods Funct. Anal. Topology 19 (2013), no. 1, 68–72
50.Karaev, Mübariz Tapdigoğlu; Gürdal, Mehmet; Yamancı, Ulaş Special operator classes and their properties. Banach J. Math. Anal. 7 (2013), no. 2, 74–85.

38.Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, Suna Some concrete operators and their properties. Turkish J. Math.39 (2015), no. 6, 970–989.

39.Guediri, Hocine; Garayev, Mubariz T.; Sadraoui, Houcine The Bergman space as a Banach algebra. New York J. Math.21 (2015), 339–350

40.Garayev, Mubariz T. Two applications of the Nordgren-Rosenthal theorem.Numer. Funct. Anal. Optim.36 (2015), no. 7, 856–866

41.Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, Suna; Yamanci, Ulaşdist -formulas and Toeplitz operators. Ann. Funct. Anal.6 (2015), no. 1, 221–226.

42.Gürdal, M.; Garayev, M. T.; Saltan, S.; Yamancı, U. On some numerical characteristics of operators. Arab J. Math. Sci.21 (2015), no. 1, 118–126.

43.Karaev, Mubariz T.; Saltan, Suna; Kunt, Tevfik Discrete Duhamel product, restriction of weighted shift operators and related problems. New York J. Math.20 (2014), 831–843.

44.Gürdal, M.; Garayev, M. T.; Saltan, S.Basisity problem and weighted shift operators.Acta4Math. Sci. Ser. B Engl. Ed.34 (2014), no. 5, 1655–1660.

45.Karaev, Mubariz T.; Gürdal, Mehmet; Yamancı, Ulaş Some results related with Berezin symbols and Toeplitz operators. Math. Inequal. Appl.17 (2014), no. 3, 1031–1045

46.Karaev, Mubariz T. Erratum: Use of reproducing kernels and Berezin symbols technique in some questions of operator theory [Forum Math., DOI 10.1515/FORM.2011.073]]. Forum Math.25 (2013), no. 5, 1107.

47.Karaev, M. T. Reproducing kernels and Berezin symbols techniques in various questions of operator theory. Complex Anal. Oper. Theory 7 (2013), no. 4, 983–1018.

48.Karaev, Mubariz T.Tauberian-type theorem for (e) -convergent sequences. C. R. Math. Acad. Sci. Paris 351 (2013), no. 5-6, 177–179

49.Karaev, Mubariz T.; Iskenderov, Nizameddin Sh.Berezin number of operators and related questions. Methods Funct. Anal. Topology 19 (2013), no. 1, 68–72

50.Karaev, MübarizTapdigoğlu; Gürdal, Mehmet; Yamancı, Ulaş Special operator classes and their properties.Banach J. Math. Anal.7 (2013), no. 2, 74–85.

51. Gürdal, M., Yamancı, U., and Garayev, M., Some results for operators on a model space, Frontiers of Mathematics in China, 13 (2018), no. 2, 287-300.

52. Altwaijry, N., Baazeem, A.S., and Garayev, M., Distance estimates, norm of Hankel operators and related questions, Operators and Matrices, 12 (2018) no. 1, 157--168.

53. Karaev, M.T., Duhamel Algebras and Applications, Funktsional. Anal. iPrilozhen., 52 (2018), no. 1, 3–12.

55. Garayev, M.T., Gürdal, M. and TilkiHavva, On some Deddens subspaces of Banach algebras, Filomat, in press, 2018.

56. Gürdal M. and Garayev, M.T., Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces, Turkish journal of Mathematics, in press, 2018.

57. Garayev, Mubariz T. Berezin symbols, Hölder-McCarthy and Young inequalities and their applications. Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 43 (2017), no. 2, 287--295.

58. Garayev, Mubariz T.; Gürdal, Mehmet; Saltan, Suna Hardy type inequaltiy for reproducing kernel Hilbert space operators and related problems. Positivity 21 (2017), no. 4, 1615--1623.

59. Garayev, M. T.; Gürdal, M.; Yamanci, U. Berezin symbols and Borelsummability. Quaest. Math. 40 (2017), no. 3, 403--411.

60. Yamancı, U., Gürdal, M. and Garayev, M. T., Berezin Number Inequality for Convex Function in Reproducing Kernel Hilbert Space, Filomat, 31 (2017), no. 18, 5711--5717.

61. Garayev, Mubariz T.; Gürdal, Mehmet; Yamancı, Ulaş Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions. Kuwait J. Sci. 43 (2016), no. 3, 70--77.

62. Gürdal, Mehmet; Garayev, Mübariz T.; Değer, HasretBerezin symbols and Abel convergence of sequences and series. Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 17 (2016), no. 3, 203--209.

63. Garayev, M. T.; Guediri, H.; Sadraoui, H. On some problems in the space C(n)[0,1]. Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 78 (2016), no. 1, 147--156.

64. Garayev, Mubariz T.; Gürdal, Mehmet; Okudan, Arzu Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators. Math. Inequal. Appl. 19 (2016), no. 3, 883--891.

65. Garayev, Mubariz T.; Guediri, Hocine; Sadraoui, Houcine Applications of reproducing kernels and Berezin symbols. New York J. Math. 22 (2016), 583--604.

66. Karaev, Mubariz T.; Gürdal, Mehmet; Huban, MuallaBirgül Reproducing kernels, Engliš algebras and some applications. Studia Math. 232 (2016), no. 2, 113--141.

67. Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, SunaSome concrete operators and their properties. Turkish J. Math. 39 (2015), no. 6, 970--989.

68. Garayev, Mubariz T. The Berezin number, norm of a Hankel operator and related topics. Operator algebras and mathematical physics, 87--100, Oper. Theory Adv. Appl., 247, Birkhäuser/Springer, Cham, 2015.

69. Guediri, Hocine; Garayev, Mubariz T.; Sadraoui, HoucineThe Bergman space as a Banach algebra. New York J. Math. 21 (2015), 339--350.

70. Garayev, Mubariz T. Two applications of the Nordgren-Rosenthal theorem. Numer. Funct. Anal. Optim. 36 (2015), no. 7, 856--866.

71. Gürdal, Mehmet; Garayev, Mübariz T.; Saltan, Suna; Yamanci, Ulaşdist-formulas and Toeplitz operators. Ann. Funct. Anal. 6 (2015), no. 1, 221--226.

72. Gürdal, M.; Garayev, M. T.; Saltan, S.; Yamancı, U. On some numerical characteristics of operators. Arab J. Math. Sci. 21 (2015), no. 1, 118--126.

73.M.T.Karaev,Duhamel algebras and applications,Funct.Anal.Applications,2018.

74.M.T.Garayev,H.Guediri and H.Sadraoui, New characterizations of Bloch spaces,Bers-type and Zygmund-type spaces and related questions,Ufa Math.J.,10(2018),131-141.

75.M.T.Garayev,M.Gurdal,U.Yamanci,B.Halouani,Boundary behavior of Berezin symbols and related results,Filomat,33:14(2019),4433-4440.

76.F.Bouzeffour,M.T.Garayev,Duhamel convolution product in the setting of quantum calculus,Ramanujan J.,46(2018),345-356.

77.M.T.Garayev,U.Yamanci,Cebysev type inequalities and power inequalities for the Berezin number of operators,Filomat,33:8(2019),2307-2316.

78. Ulaş Yamancı, Mubariz T. Garayev and Ceren Çelik ,Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results, LINEAR AND MULTILINEAR ALGEBRA 2019, VOL. 67, NO. 4, 830-842.

79.M.T.Garayev,H.Guediri,M.Gurdal,G.Alsahli,On some problems for operators on the reproducing kernel Hilbert space, LINEAR AND MULTILINEAR ALGEBRA

https://doi.org/10.1080/03081087.2019.1659220

80. M.T. GARAYEV , M. GURDAL , Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces,42(2018),1504-1508.

81. M. Bakherad and M.T. Garayev, Berezin number inequalities for operators,6(2019),33-43.

Very recent publications :

On the Essential Norm Formulas for Some Operators MT Garayev Complex Analysis and Operator Theory 17 (2), 23		2023
Some applications of the -Duhamel product M Gürdal, M Garayev, R Tapdigoglu, M Altıntaş The Journal of Analysis, 1-16		2022
On the fractional Bessel operator F Bouzeffour, M Garayev Integral Transforms and Special Functions 33 (3), 230-246		2022
On some problems for reproducing Kernel Hilbert space operators via the Berezin transform MT Karaev, R Tapdigoglu Mediterranean Journal of Mathematics 19, 1-16		2022
Berezin symbol inequalities via Grüss type inequalities and related questions R TAPDIGOĞLU, M GARAYEV, N Altwaijry Turkish Journal of Mathematics 46 (3), 991-1003		2022
On hyponormality of Toeplitz operators H Sadraoui, M Garayev, H Guediri Rocky Mountain Journal of Mathematics 51 (5), 1821-1831		2021
Reverse inequalities for the Berezin number of operators M Garayev, H Guediri, N Altwaijry arXiv preprint arXiv:2109.09012		2021
On some problems for operators on the reproducing kernel Hilbert space MT Garayev, H Guediri, M Gürdal, GM Alsahli Linear and Multilinear Algebra 69 (11), 2059-2077		2021
Inequalities for the Berezin number of operators and related questions MT Garayev, MW Alomari Complex Analysis and Operator Theory 15, 1-30		2021
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials F Bouzeffour, M Garayev Analysis and Mathematical Physics 11, 1-16		2021
The Hartley Transform Via Susy Quantum Mechanics F Bouzeffour, M Garayev Memoirs on Differential Equations and Mathematical Physics 83, 31-41		2021
Some applications of Berezin θ-sequences and Berezin symbols N Altwaijry, M Garayev, A Baazeem Filomat 35 (11), 3703-3712		2021
On hyponormality on a weighted annulus H Sadraoui, B Halouani, MT Garayev Open Mathematics 19 (1), 1510-1516		2021
Multiple big -Jacobi polynomials F Bouzeffour, M Garayev Bulletin of Mathematical Sciences 10 (02), 2050013		2020
Hyponormality on a Weighted Bergman Space H Sadraoui, B Halouani, MT Garayev, A AlShehri Journal of Function Spaces 2020, 1-7		2020
A generalization of the 2D Slepian functions F Bouzeffour, M Garayev Mathematical Methods in the Applied Sciences		2020
Some inequalities involving Berezin symbols of operator means and related questions M Garayev, S Saltan, F Bouzeffour, B Aktan Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …		2020
Extended arithmetic functions F Bouzeffour, W Jedidi, M Garayev The Ramanujan Journal 51, 593-609		2020
On the Zeros of the Big q-Bessel Functions and Applications F Bouzeffour, H Ben Mansour, M Garayev Mathematics 8 (2), 237		2020
Refinements of Kantorovich type, Schwarz and Berezin number inequalitie M Garayev, F Bouzeffour, M Gürdal, CM Yangoz Extracta mathematicae 35 (1), 1-20		2020
Skew-symmetric and essentially unitary operators via Berezin symbols N Altwaijry, M Garayev, H Guediri, A Baazeem Open Mathematics 18 (1), 1760-1770		2020
Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results U Yamancı, MT Garayev, C Çelik Linear and Multilinear Algebra 67 (4), 830-842		2019
Some properties and applications of convolution algebras MT Garayev Adv. Mathem. Models Appl 4 (3), 188-197		2019
Čebyšev’s type inequalities and power inequalities for the Berezin number of operators MT Garayev, U Yamancı Filomat 33 (8), 2307-2316		2019
Boundary behavior of Berezin symbols and related results MT Garayev, M Gürdal, U Yamancı, B Halouani Filomat 33 (14), 4433-4439		2019
Berezin number inequalities for operators M Bakherad, MT Garayev Concrete Operators 6 (1), 33-43		2019

Published Talks(Abstracts):
1.      Karaev M.T. and Gürdal M., Some results for the weighted shift operators on the Banach spaces, International Conference Analysis and its applications (ICAA-08), India, November 3-5, sayfa , 2008.
2.      Karaev, M.T., On the boundary behavior of Berezin Symbols, Mathematics Workshop Days, May 15-16, Istanbul Commerce University.
3.      Karaev, M.T., On the Duhamel Algebras, ISAAC, 2009.Congress Imperial College London, Jully 13-18, 2009 .
4.      Karaev,M.T. and Gurdal,M.,On some problems related with some special operator classes,21st International Workshop on Operator Theory and its Applications(IWOTA 2010),July 12-16,2010,TU Berlin,Germany.
5.      Gurdal,M.and Karaev,M.T.,On some questions of operator theory,,21st International Workshop on Operator Theory and its Applications(IWOTA 2010),July 12-16,2010,TU Berlin,Germany.

Editorialship:

Advances in Linear Algebra and Matrix Theory.(Editor-in Chief)
Journal of Mathematical Sciences: Advances and Applications

3. International Journal of Mathematical Archive.
4.Journal of Mathematical Analysis.
5.Proceedings of IMM .
6.Transiction of NAN of Azerbaijan,Ser.Mathematics.

REFEREE of the following journals:
1.Proc.Amer.Math.Soc.
2.Positivity
3.J.Math.Anal.Appl.
4.Opuscula Mathematica
5.Arap J.Math.Sci.
6.Banach J.Math.Anal.
7.Proc.IMM
8.Abstract Appl.Anal.
9.Turkish J.Math.
10.Numerical Funct.Anal.Optimization.

THE MEMBER IN ANALYSIS GROUP IN DEPARTMENT OF .MATHEMATICS,COLLEGE OF SCIENCE,KSU.