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Mubariz Garayev

Professor

Professor

كلية العلوم
2A 183 B4
السيرة الذاتية

Prof. Dr. Mubariz Garayev

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

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.
 
 
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:

  1. Advances in Linear Algebra and Matrix Theory.(Editor-in Chief)
  2. 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.