Dilations of some VH-spaces operator valued invariant Kernels
Integral Equations and Operator Theory
1420-8989 (online)0378-620X (print)
451 - 479
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21207
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.
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