MA 348: Topics in function theoretic operator Theory

Credits: 3:0


Prerequisite courses: MA 219, MA 222, MA 223 and MA 224

Banach algebras – Gelfand theory, L-infinity functional calculus for bounded normal operators, Pick - Nevanlinna and Caratheodory Interpolation problems, Distinguished varieties in the bidisc.


Suggested books and references:

  1. Douglas, Ronald G., Banach algebra techniques in operator theory. Second edition, Graduate Texts in Mathematics, 179. Springer-Verlag, New York, 1998.
  2. Conway, John B., A course in functional analysis. Second edition, Graduate Texts in Mathematics, 96. Springer-Verlag, New York, 1990.
  3. Agler, Jim; McCarthy, John Edward; Young, Nicholas, Operator analysis—Hilbert space methods in complex analysis, Cambridge Tracts in Mathematics, 219. Cambridge University Press, Cambridge, 2020.
  4. Bhattacharyya, Tirthankar; Kumar, Poornendu; Sau, Haripada, Distinguished varieties through the Berger-Coburn-Lebow theorem., Anal. PDE 15 (2022), no. 2, 477–506.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 03 Feb 2023