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Proceedings of the American Mathematical Society

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Coisometric extensions of contraction semigroups


Author: Wacław Szymański
Journal: Proc. Amer. Math. Soc. 97 (1986), 418-422
MSC: Primary 47D05; Secondary 47A20, 47A45
DOI: https://doi.org/10.1090/S0002-9939-1986-0840622-X
MathSciNet review: 840622
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Abstract: One more approach to dilation theorems for contraction semigroups is presented. The result is obtained by applying the $ * $-dilation theorem for $ * $-semigroups to a $ * $-semigroup with the algebraic operation defined in a special way.


References [Enhancements On Off] (What's this?)

  • [1] W. Mlak, Unitary dilations in case of ordered groups, Ann. Polon. Math. 17 (1966), 321-328. MR 0190769 (32:8179)
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  • [3] B. Sz.-Nagy, Extensions of linear transformations in Hilbert spaces which extend beyond the space, Appendix to F. Riesz and B. Sz.-Nagy, Functional Analysis, Ungar, New York, 1960.
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0840622-X
Keywords: Contraction semigroup, coisometry, $ * $-dilation
Article copyright: © Copyright 1986 American Mathematical Society

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