MA 546 - Spring 2026 - Introduction to Functional Analysis

 Instructor  Plamen Stefanov
 Office  MATH 728
 Email  stefanov@math.purdue.edu
 Meeting  TueThu, 10:30 AM - 11:45 AM in SCHM 309
 Office Hours  TueThu, 1:30-2:30
 Grader  Ethan Kessinger
 Book  M.Reed and B.Simon, Functional Analysis, link

Homework

HW1, due Tue, 1/27 at midnight on Brightspace

Midterm Exam: Tue 03/03, 8:00-9:30pm, FRNY G124


Schedule 

Chapter I: Preliminaries
    I. Sets and functions - read it
    2. Metric and normed linear spaces
    3. Two convergence arguments - read it

Chapter II: Hilbert spaces
    1. The geometry of Hilbert space
    2. The Riesz lemma
    3. Orthonormal bases