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Dilations with operator multipliers

  • W. Mlak
  • F. H. Szafraniec
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 828)

Keywords

Unitary Representation Complex Hilbert Space Partial Isometry Operator Kernel Operator Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    D.E. Evans, J.T. Lewis, Some semigroups of completely positive maps on the CCR algebra, J.Functional Analysis, 24 (1977), 369–377.MathSciNetCrossRefzbMATHGoogle Scholar
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    R.A. Kunze, Positive definite operator valued kernels and unitary representations, Proceedings of the Conference hold at UC, Irvine; ed. B.R. Geldbaum, Academic Press, London, 1967, 235–247.Google Scholar
  3. [3]
    W. Mlak, Dilations of Hilbert space operators (general theory) Dissertationes Math., 153 (1978), pp. 65.MathSciNetzbMATHGoogle Scholar
  4. [4]
    K.R. Parthasaratny, K. Schmidt, Positive definite kernels, continuous tensor products, and central limit theorems in Probability Theory, Lecture Notes in Math., vol. 278, Springer Verlag, New York, 1972.CrossRefGoogle Scholar
  5. [5]
    G.B. Pedrick, Theory of reproducing kernels for Hilbert spaces of vector valued functions, University of Kansas, Technical Report 19 (1957) (unpublished).Google Scholar
  6. [6]
    V.S. Varadarajan, Geometry of quantum theory, vol. II, Van Nostrand, New York, 1970.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • W. Mlak
    • 1
    • 2
  • F. H. Szafraniec
    • 1
    • 2
  1. 1.Instytut Matematyczny PANKraków
  2. 2.Instytut Matematyki UJKraków

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