ANALYSIS
SEMINAR

"Triplets
of Hilbert Spaces and Dirichlet Type Spaces on the Polydisc"

By

Aurelian Gheondea

(Bilkent University)

Abstract: We
review the concept of triplets of Hilbert spaces, in the sense of Yu. Berezansky,
and the underlying construction starting from a Hamiltonian operator and its
integral kernel operator. Then we review Dirichlet
type spaces on the polydisc and their basic
properties. Finally we show how the Hilbert spaces that are of Dirichlet type and have nonnegative parameters give rise in
a natural way to triplets of Hilbert spaces and we point out that a more
general notion of triplets of Hilbert spaces is needed in the indefinite
parameter case.

Tea and cookies will be served before the
seminar.

Date:
Thursday, March 1, 2012

Time: 14.00 – 15:00

Place: Mathematics Seminar Room,
SA-141