Spring 2013 MATH 206 001 LEC

Banach Algebras and Spectral Theory
Schedule: 
SectionDays/TimeLocationInstructorCCN
001 LECMWF 8-9A 2 EVANSRIEFFEL, M A54415
Units/CreditFinal Exam GroupEnrollment
4NONELimit:36 Enrolled:3 Waitlist:0 Avail Seats:33 [on 06/26/13]
Additional Information: 

Prerequisites: 202A-202B.

Syllabus: Banach algebras. Spectrum of a Banach algebra element. Gelfand theory of commutative Banach algebras. Analytic functional calculus. Hilbert space operators. C*-algebras of operators. Commutative C*-algebras. Spectral theorem for bounded self-adjoint and normal operators (both forms: the spectral integral and the "multiplication operator" formulation). Riesz theory of compact operators. Hilbert-Schmidt operators. Fredholm operators. The Fredholm index. Selected additional topics.

Office: 811 Evans

Office Hours:  TBA

Required Text:  A Course in Functional Analysis, John B. Conway, 2nd ed., Springer-Verlag

Recommended Reading: 

Grading: See course webpage

Homework: See course webpage

Course Webpage: math.berkeley.edu/~rieffel