Keywords
- Unitary Representation
- Complex Hilbert Space
- Partial Isometry
- Operator Kernel
- Operator Multiplier
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References
D.E. Evans, J.T. Lewis, Some semigroups of completely positive maps on the CCR algebra, J.Functional Analysis, 24 (1977), 369–377.
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.
W. Mlak, Dilations of Hilbert space operators (general theory) Dissertationes Math., 153 (1978), pp. 65.
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.
G.B. Pedrick, Theory of reproducing kernels for Hilbert spaces of vector valued functions, University of Kansas, Technical Report 19 (1957) (unpublished).
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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