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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Completely bounded linear extensions of operator-valued functions on $^ *$-semigroups
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by Ching Yun Suen PDF
Proc. Amer. Math. Soc. 105 (1989), 330-334 Request permission

Abstract:

Let $G$ be a unital $*$-semigroup [7, p. 1] in a unital (complex) ${C^*}$-algebra such that the linear span of $G$ is norm dense in it. Extending the results of [6], we have completely bounded linear extension theorems of operatorvalued functions on $G$. Applying extension theorems, we have that each regular bounded operator measure has the form $V_1^*F(){V_2}$, where ${V_1}$ and ${V_2}$ are linear operators and $F$ is a selfadjoint spectral operator measure.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 330-334
  • MSC: Primary 46L05; Secondary 47A20, 47D99
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0931737-9
  • MathSciNet review: 931737