**"****VH-Spaces
Operator Valued **

**Kernels II****"**

By

** Abstract:** This
is a continuation of the first seminar talk on the same subject. In 1965, R.M. Loynes introduced VH (Vector Hilbert) spaces, spaces having
"inner products" that have vector values, in connection with some
problems in stochastic analysis. These spaces contain as special cases the
Hilbert modules over C*-algebras, or even over locally C*-algebras, whose study
was started later in the 70'. We consider VH-spaces operator valued Hermitian kernels with respect to the existence of
linearization (or Kolmogorov decompositions) and
reproducing kernel spaces.

**Date: ****Wednesday, March 13, 2013**

**Time: ****14.30**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.