Fall 2022 MATH 206 001 LEC

Functional Analysis
Schedule: 
SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 05:00PM - 05:59PMEvans 740Steven N Evans24781
UnitsEnrollment StatusSession
4Open2022 Fall, August 24 - December 09
Additional Information: 

Prerequisites 202A-202B

Description 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.

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Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

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