"Representations of *-Semigroups Associated to
Invariant Kernels with Values Continuously Adjointable Operators"
By
AURELIAN GHEONDEA
(BİLKENT UNIVERSITY)
Abstract: We consider positive semidefinite
kernels valued in the *-algebra of continuous and continuously adjointable operators on a VH-space (Vector Hilbert space
in the sense of Loynes) and that are invariant under
actions of *-semigroups. For such a kernel we obtain
two necessary and sufficient boundedness conditions
in order for there to exist *-representations of the underlying *-semigroup on a VH-space linearisation,
equivalently, on a reproducing kernel VH-space. We exhibit several situations
when the latter boundedness condition is
automatically fulfilled.
Date: Wednesday, October 14, 2015
Time: 14:00
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the
seminar.