MATH206
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MATH 206 - Functional Analysis
Course Title
Functional Analysis
Course 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.
Minimum Units
4
Maximum Units
4
Grading Basis
Default Letter Grade; S/U Option
Prerequisites
202A-202B.
Repeat Rules
Course is not repeatable for credit.
Formats
Lecture
Term
Fall and Spring
Weeks
15 weeks
Weeks
15
Lecture Hours
3
Lecture Hours Min
3
Lecture Hours Max
3
Lecture Mode of Instruction
In Person
Outside Work Hours
9
Outside Work Hours Min
9
Outside Work Hours Max
9