Fall 2021 MATH 206 001 LEC
Banach Algebras and Spectral Theory
Schedule:
Section | Days/Times | Location | Instructor | Class |
---|---|---|---|---|
001 LEC | TuTh 02:00PM - 03:29PM | Dwinelle 225 | Dan-Virgil Voiculescu | 25979 |
Units | Enrollment Status | Session |
---|---|---|
4 | Open | 2021 Fall, August 25 - December 10 |
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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Grading Letter grade.
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