On Von Neumann’s Inequality

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 H be any Hilbert space and let T be an operator on H such that operator norm of T is less than 1. Let P be a polynomial in one complex variable, and consider P(T) (replacing z by T), which is an operator on H. Then the operator norm of P(T) is less than the sup norm of P 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

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