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
P. Masani, Dilations as propagators of Hilbertian varieties, Preprint, November 1976.
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W. Mlak, Dilations of Hilbert space operators (General theory), to appear in Dissertationes Math.
W.L. Paschke, Completely positive maps on U*-algebras, Proc. Amer. Math. Soc., 34 (1972), 412–416.
F.H. Szafraniec, A note on a general dilation theorem, Ann. Polon. Math. (to appear).
—, 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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—, Dilations on involution semigroups, Proc.Amer.Math.Soc. (to appear).
—, Boundedness in dilation theory, to appear in Banach Center Publications, the Spectral Theory volume.
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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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