MA 323: Operator Theory

Credits: 3:0

Review of basic notions from Banach and Hilbert space theory.

Bounded linear operators: Spectral theory of compact, self adjoint, and normal operators. Sturm-Liouville problems, Green’s function, Fredholm integral operators.

Unbound linear operators on Hilbert spaces: Symmetric and self adjoint operators, Spectral theory, Banach algebras, Gelfand representation theorem, $C^*$-algebras, Gelfand-Naimark-Segal construction.

Suggested books and references:

  1. Conway, J. B., A course in Functional Analysis, Springer-Verlag, 1990.
  2. Rudin, W., Functional Analysis, Tata Mcgraw-Hill, 1974.
  3. Berberian, S. K., Lectures in Functional Analysis, Frederic Ungar, 1955.

All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 14 Jul 2024