MA 340: Advanced Functional Analysis
Credits: 3:0
Prerequisite courses: MA 223
Banach algebras, Gelfand theory, $C^{*}$-algebras the GNS construction, spectral theorem for normal operators, Fredholm operators. The L-infinity functional calculus for normal operators.
Suggested books and references:
- Conway, J.B., A Course in Functional Analysis, Springer, 1985.
- Douglas, R. G., Banach Algebra Techniques in Operator Theory, Academic Press, 1972.