Representation of a completely bounded bimodule map

Author:
Qi Yuan Na

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1137-1143

MSC:
Primary 46L05; Secondary 46L10, 47D25

DOI:
https://doi.org/10.1090/S0002-9939-1995-1223518-9

MathSciNet review:
1223518

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we give a representation for a completely bounded bimodule map into , where *A* and *B* are unital operator subalgebras of . When *A* and *B* are -subalgebras we give a new proof of the Wittstock's theorem by using this representation. We also prove that a von Neumann algebra is an injective operator bimodule over its unital operator algebras if and only if it is a finitely injective operator bimodule.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1995-1223518-9

Keywords:
Operator bimodules,
representation,
dilation,
injectivity,
finite injectivity,
finitely generated operator bimodule

Article copyright:
© Copyright 1995
American Mathematical Society