Fall 2020: MATH 632 Functional Analysis

Radu Balan
  • Email: rvbalan at
  • Office: Math building 2308 ; Phone: 301 405 5492
  • Office: CSCAMM (CSIC building) 4131 ; Phone: 301 405 1217

Lectures: 11.00am-12.15pm on Tuesdays, Thursdays, ONLINE.

Office Hour:Tuesday, 5:00pm-6:15pm (by appointment).

Assignments: Homework must be submitted on the date assigned. Homework must be prepared without consulting any other person. You may however consult any written reference. In this case you should cite the reference. Results taken from the reference should be (re)stated to the notation used in the course. Explanation should be given in complete English sentences. Written work must be legible and clear.

Description: MATH 632 Functional Analysis is the graduate level course in mathematics that presents an introduction to functional analysis and operator theory: normed linear spaces, basic principles of functional analysis, bounded linear operators on Hilbert spaces, spectral theory of selfadjoint operators, applications to differential and integral equations, additional topics as time permits.

Grading: 25% Homeworks ; 25% Mid-Term Exam ; 50% Final Exam

References: Recommended textbooks:
Michael Reed, Barry Simon, Functional Analysis I (Methods of Modern Mathematical Physics), 1980.
Walter Rudin, Functional Analysis, McGraw-Hill Science/Engineering/Math 2nd Edition, ISBN 978-0070542365;
Barry Simon, Operator Theory, A comprehensive Course in Analysis, Part 4, AMS 2016, ISBN 978-1470411039.