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, Springer.
Amrein, W. O., Jauch, J. M., and Sinha, K. B., Scattering theory in quantum mechanics, W. A. Benjamin Inc.
+91 (80) 2293 2711, +91 (80) 2293 2265 ; E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 04 Aug 2020