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Apropos of professor Masani's talk

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Probability Theory on Vector Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 656))

Abstract

Our purpose is twofold: 1° to relate Masani's results (this Proceedings) to ours, 2° show that our results can automatically be set into the *-semigroup of actions context.

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References

  1. P. Masani, Dilations as propagators of Hilbertian varieties, Preprint, November 1976.

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  2. —, Propagators and dilations, this Proceedings

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  3. W. Mlak, Dilations of Hilbert space operators (General theory), to appear in Dissertationes Math.

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  4. W.L. Paschke, Completely positive maps on U*-algebras, Proc. Amer. Math. Soc., 34 (1972), 412–416.

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  5. F.H. Szafraniec, A note on a general dilation theorem, Ann. Polon. Math. (to appear).

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  6. —, On the boundedness condition involved in dilation theory, Bull. Acad. Polon. Sci., Sér.sci.math.,astronom.phys., 24 (1976), 877–881.

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  7. —, A general dilation theorem,, 25 (1977), 263–267.

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  8. —, Dilations on involution semigroups, Proc.Amer.Math.Soc. (to appear).

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  9. —, Boundedness in dilation theory, to appear in Banach Center Publications, the Spectral Theory volume.

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A. Weron

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© 1978 Springer-Verlag

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Szafraniec, F.H. (1978). Apropos of professor Masani's talk. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068823

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  • DOI: https://doi.org/10.1007/BFb0068823

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

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