2025 Fall MATH 206 002 LEC 002

2025 Fall

MATH 206 002 - LEC 002

Functional Analysis

Maciej Zworski

Aug 27, 2025 - Dec 12, 2025
Tu, Th
12:30 pm - 01:59 pm
Class #:33438
Units: 4

Instruction Mode: In-Person Instruction

Offered through Mathematics

Current Enrollment

Total Open Seats: 40
Enrolled: 0
Waitlisted: 0
Capacity: 40
Waitlist Max: 7
No Reserved Seats

Hours & Workload

3 hours of instructor presentation of course materials per week, and 9 hours of outside work hours per week.

Course Catalog Description

Spectrum of an operator. Analytic functional calculus. Compact operators. Hilbert-Schmidt operators. Spectral theorem for bounded self-adjoint and normal operators. Unbounded self-adjoint operators. Banach algebras. Commutative Gelfand-Naimark theorem. Selected additional topics such as Fredholm operators and Fredholm index, Calkin algebra, Toeplitz operators, semigroups of operators, interpolation spaces, group algebras.

Rules & Requirements

Repeat Rules

Course is not repeatable for credit.

Reserved Seats

Current Enrollment

No Reserved Seats

Textbooks & Materials

See class syllabus or https://calstudentstore.berkeley.edu/textbooks for the most current information.

Textbook Lookup

Guide to Open, Free, & Affordable Course Materials

eTextbooks

Associated Sections

None