Dilations with operator multipliers

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


Unitary Representation Complex Hilbert Space Partial Isometry Operator Kernel Operator Multiplier 
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  1. [1]
    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
  2. [2]
    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of reproducing kernels for Hilbert spaces of vector valued functions, University of Kansas, Technical Report 19 (1957) (unpublished).Google Scholar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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