King Saud University
  Help (new window)
Search


Guidelines_English_Final
تحميل الدليل التدريبي

أسئلة شائعة


 

Syllabus

M581               Functional Analysis I                        3 credit units

 Normed spaces, Banach spaces, continuous linear operators, Hahn-Banach theorem, Duality, the open mapping theorem.  The closed graph theorem, the uniform boundedness theorem, Hilbert spaces, Adjoint operators, unitary and normal operators, projections, spectral theory in finite dimensional spaces, spectral properties of bounded linear operators.

 

Syllabus

COURSE MATH 581

SEMESTER II, 1428 – 1429 H

Department of Mathematics

TEXT BOOK: Functional Analysis, MCGraw Hill. 1973

Authors: J.Rudin(3rd edition)

Week Course Details

1. Normed spaces,

2. Banach spaces,

3. continuous linear operators,

4. Hahn-Banach theorem,

5. Duality, the open mapping theorem. 

6. The closed graph theorem, the uniform boundedness theorem,

7. Hilbert spaces,

8. Adjoint operators,

9. unitary and normal operators,

10. projections,

11. spectral theory in finite dimensional spaces,

12. spectral properties of bounded linear operators.

13. Spectral properties examples and application

14.Spectrum radius

15. Revision.

 COMMING EXAMS:

 Mid-Term Exam 1: 19/04/1429 From: 7 to 8.30 (Done)

Mid-Term Exam 2:  20/05/1429 From: 7 to 8.30 (Done)

 

Final Exam: 19/06/1429: From: 1 to 4.00 (PM)

 

   تقيم    تقسيم  الدرجات:

§         اختبار الفصل الأول: 20

§         اختبار الفصل الثاني: 20

§         درجات التمارين: 10

§         الامتحان النهائي: 50

 

 

    Lecture

    Exercises With Solutions

     

     
    King   Saud University. All rights reserved, 2007 | Disclaimer | CiteSeerx