Homework problems

Math 503,   Functional Analysis,   Spring 2012

M W F   2:30pm - 3:20pm.


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

Office hoursWednesday: 3:20pm-4:20pm and by appointment

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

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