Dilations of Some VH-Spaces Operator Valued Invariant Kernels
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21207
Integral Equations and Operator Theory
- Research Paper 
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.
Showing items related by title, author, creator and subject.
Identification of damaged wheat kernels and cracked-shell hazelnuts with impact acoustics time-frequency patterns Ince, N.F.; Onaran I.; Pearson, T.C.; Tewfik, A.H.; Cetin, A.E.; Kalkan H.; Yardimci, Y. (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 ...
Constantinescu, T.; Gheondea, A. (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 ...
Gheondea, A. (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 ...