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    Dilations of Some VH-Spaces Operator Valued Invariant Kernels

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    Date Issued
    2012
    Author
    Gheondea, A.
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    Please cite this item using this persistent URL
    http://hdl.handle.net/11693/21207
    Journal
    Integral Equations and Operator Theory
    Published as
    http://dx.doi.org/10.1007/s00020-012-2009-1
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    • 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.

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    BİLKENT UNIVERSITY

    Copyright © Bilkent University - Library Technical Services | 06800 Bilkent, Ankara TURKEY
    If you have trouble accessing this page and need to request an alternate format, contact the webmaster. Phone: (312) 290 1771

    Contact Us | Send Feedback | Off-Campus Access