### 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: 17 Sep 2019