Dilations of Some VH-Spaces Operator Valued Invariant Kernels
Please cite this item using this persistent URL
http://hdl.handle.net/11693/21207Journal
Integral Equations and Operator Theory
Published as
http://dx.doi.org/10.1007/s00020-012-2009-1Collections
- Research Paper [7145]
Abstract
We investigate VH-spaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of *-semigroups from the point of view of generation of *-representations, linearizations (Kolmogorov decompositions), and reproducing kernel spaces. We obtain a general dilation theorem in both Kolmogorov and reproducing kernel space representations, that unifies many dilation results, in particular B. Sz.-Nagy's and Stinesprings' dilation type theorems. © 2012 Springer Basel.
Related items
Showing items related by title, author, creator and subject.
-
Identification of damaged wheat kernels and cracked-shell hazelnuts with impact acoustics time-frequency patterns
(2008)A new adaptive time-frequency (t-f) analysis and classification procedure is applied to impact acoustic signals for detecting hazelnuts with cracked shells and three types of damaged wheat kernels. Kernels were dropped ... -
Dilations of some VH-spaces operator valued invariant kernels
(Springer Verlag, 2012)We investigate VH-spaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of *-semigroups from the point of view of generation of *-representations, linearizations ... -
On L. Schwartz's boundedness condition for kernels
(2006)In previous works we analysed conditions for linearization of Hermitian kernels. The conditions on the kernel turned out to be of a type considered previously by L. Schwartz in the related matter of characterizing the real ...
