MA 382: Special Topics in Operator Theory
- MA 233
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
Unbounded operators - examples, spectral theorem and functional
calculus for an unbounded self-adjoint operator.
Schatten p-classes- interpolation.
Krein’s spectral shift function
Suggested books and references:
Conway, J. B., A course in functional analysis
Amrein, W. O., Jauch, J. M., and Sinha, K. B., Scattering theory in quantum mechanics
,W. A. Benjamin Inc.
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