Speaker : Vikramjeet Singh Chandel

Date : 30th September, 2014 (Tuesday)

Time : 09:15 pm – 10:15 pm

Venue : Lecture Hall I, Department of Mathematics

Abstract: In this talk, I would like to present a proof of the Von Neumann’s Inequality. Von Neumann’s inequality says the following: Let be any Hilbert space and let be an operator on such that operator norm of is less than . Let be a polynomial in one complex variable, and consider (replacing by ), which is an operator on . Then the operator norm of is less than the sup norm of on the closed unit disc. We, also, will see how we can extend it to Holomorphic functions defined on the unit disc.

Area: Complex Analysis