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.References
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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