Combinatorics Seminar

When: Sunday, March 25, 10am Where: Schreiber 309 Speaker: Ron Blei, University of Connecticut Title: The Grothendieck inequality revisited (yet again...)

Abstract:

The classical Grothendieck inequality is viewed as a statement about representing functions of two variables over discrete domains by integrals of two-fold products of functions of one variable. We prove an analogous, "upgraded" statement concerning continuous functions of two variables over general topological domains. The key is a derivation of a Parseval-like formula, equating the dot product of two vectors in a Euclidean space to the integral of two bounded functions over [0,1]. Modulo some basic harmonic and functional analysis, the talk is guaranteed to be self-contained.