Bilkent University Mathematics Department Seminars

Representations of*-Semigroups Associated to Invariant Kernels with Values Continuously Adjointable Operators
Aurelian Gheondea
Bilkent University, Turkey
Özet : 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.
  Tarih : 14.10.2015
  Saat : 14:00
  Yer : Mathematics Seminar Room, SA 141
  Dil : English