Homework problems

Math 503,   Functional Analysis,   Spring 2014

M W F   2:30pm - 3:20pm.

Contact Info  Leonid Berlyand, 337 McAllister Bldg,
 telephone: 863-9683, email:  berlyand@math.psu.edu

Office hoursby appointment

Academic Integrity
All Penn State Policies regarding ethics and honorable behavior apply to this course.

Textbook  Primary text: Lecture Notes on Functional Analysis by Alberto Bressan, AMS, ISBN 978-08218-8771-4

 Secondary text: Functional Analysis, Sobolev Spaces and Partial Differential Equations, by Haim Brezis, Springer Universitext, ISBN 9780387709130

Another recommended text: Introductory Real Analysis, A.N. Kolmogorov, S.V. Fomin.

Course content Course Topics:

Topological vector spaces, completeness, convexity, duality, banach algebras, bounded operators on Hilbert space, the spectral theorem, unbounded operators, applications.

Classroom We meet in  104 Osmond.

Prerequisites MATH 501

Grading The course grade will be based on homeworks, midterm, and final.