SPECIAL TOPIC IN OPERATOR THEORY
Quick review of the theory of bounded operators on a Hilbert space compactoperators, Fredholm operators, spectral theory of compact self- adjoint operators. Spectral theorem and functional calculus for a bounded self-adjoint operator. Unbounded operators - examples, spectral theorem and functional calculus for an unbounded self-adjoint operator. Schatten p-classes- interpolation. Krein’s spectral shift function Prerequisite : MA 223
Books
- Conway, J. B., A course in functional analysis, Springer.
- Amrein, W. O., Jauch, J. M., and Sinha, K. B., Scattering theory in quantum mechanics, W. A. Benjamin Inc.
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