Advanced Operator Theory

Code: MA646 | L-T-P-C: 3-0-0-6

Prerequisites: MA543 or equivalent

Review of spectral theory of bounded self-adjoint and normal operators, resolution of identity; unbounded operators: basic properties and examples, symmetric and self-adjoint operators, Cayley transform, unbounded normal operators and the spectral theorem, symbolic calculus.

Texts/References:

1. J.B. Conway, A course in operator theory, GSM, 21. AMS, Providence, RI, 2000.
2. W. Rudin, Functional Analysis, Tata Mc. Graw Hill, 1974.
3. K. Schmudgen, Unbounded self-adjoint operators on Hilbert space, GTM, 265. Springer, 2012..