"Invariant
Kernels"
By
Abstract: Given a *-semigroup G, an action of
it on a set X, and a Hilbert space H, we consider B(H)-valued kernels on X,
that are invariant under the action of G on X. The problem is to decide when
*-representations of G onto another Hilbert space K can be obtained out of
here. This is a general problem that contains, as particular cases, different
dilation theorems, starting with the classical dilation theorems of Naimark, Toeplitz
kernels, Hankel kernels, dilation theorems of Sz.-Nagy and Stinespring, as well
as some more recent interpretations of wavelets.
.
Date: Wednesday, March 27, 2013
Time: 14.30
Place: Mathematics Seminar Room,
SA-141
Tea and cookies will be served before the
seminar.