Advanced Functional Analysis Banach algebras, Gelfand theory, C* - algebras the GNS construction, spectral theorem for normal operators, Fredholm operators. The L-infinity functional calculus for normal operators. Recommended Books
- Conway, J.B. : A Course in Functional Analysis, Springer, 1985.
- Douglas, R. G. : Banach Algebra Techniques in Operator Theroy, Academic Press, 1972.