MA 223: Functional Analysis

Credits: 3:0

Basic topological concepts, Metric spaces, Normed linear spaces, Banach spaces, Bounded linear functionals and dual spaces,Hahn-Banach  theorem. Bounded linear  operators, open-mapping theorem, closed graph theorem. The Banach- Steinhaus theorem. Hilbert spaces, Riesz representation theorem, orthogonal complements,  bounded operators on  a  Hilbert  space up to (and including) the spectral  theorem  for compact,   self-adjoint  operators.

Suggested books :

  1. Rudin, Functional Anaysis (2nd Ed.) ,McGraw-Hill, 2006.
  2. Yosida, K., Functional Anaysis (4th Edition) ,Narosa, 1974.
  3. Goffman, C. and Pedrick, G., First Course in Functional Analysis ,Prentice-Hall of India, 1995.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in