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Symmetrically Completely Bounded Linear Maps Between C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Wai-Shing Tang
Wai-Shing Tang*
Affiliation:
Department of Mathematics National University of Singapore Kent Ridge, Singapore 0511 Republic of Singapore
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Abstract

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We study the properties of a new class SCB(L, B) of bounded linear maps, called symmetrically completely bounded maps, from a linear subspace L of a C* -algebra to another C*-algebra B. This class contains the class of all completely bounded linear maps from L to B. In particular, we obtain a representation theorem for maps in SCB(L, B) when B is the algebra of all bounded linear operators on a Hilbert space.

Keywords

46L0547D15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 278 - 286
Copyright
Copyright © Canadian Mathematical Society 1992 

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