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Extension of completely bounded A-B bimodule maps†

Published online by Cambridge University Press:  18 May 2009

Paul S. Muhly  and
Qiyuan Na
Paul S. Muhly
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A.
Qiyuan Na
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A.
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Abstract

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In this paper, we present an “order” characterization of completely bounded bimodule maps for bimodules over unital operator algebras. We use this result to prove a bimodule generalization of Wittstock's generalized Hahn-Banach theorem. Our proofs simplify and unify some of Wittstock's arguments.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 36 , Issue 2 , May 1994 , pp. 145 - 155
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

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