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.