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Dilations with operator multipliers

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Part of the Lecture Notes in Mathematics book series (LNM,volume 828)

Keywords

  • Unitary Representation
  • Complex Hilbert Space
  • Partial Isometry
  • Operator Kernel
  • Operator Multiplier

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References

  1. D.E. Evans, J.T. Lewis, Some semigroups of completely positive maps on the CCR algebra, J.Functional Analysis, 24 (1977), 369–377.

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  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.

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  3. W. Mlak, Dilations of Hilbert space operators (general theory) Dissertationes Math., 153 (1978), pp. 65.

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  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.

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  5. G.B. Pedrick, Theory of reproducing kernels for Hilbert spaces of vector valued functions, University of Kansas, Technical Report 19 (1957) (unpublished).

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  6. V.S. Varadarajan, Geometry of quantum theory, vol. II, Van Nostrand, New York, 1970.

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© 1980 Springer-Verlag

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Mlak, W., Szafraniec, F.H. (1980). Dilations with operator multipliers. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097405

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  • DOI: https://doi.org/10.1007/BFb0097405

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10253-3

  • Online ISBN: 978-3-540-38350-5

  • eBook Packages: Springer Book Archive