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A norm property for spaces of completely bounded maps between C*-algebras

Published online by Cambridge University Press:  18 May 2009

Tadasi Huruya
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Let Mn be the C*-algebra of n × n complex matrices. If A is a C*-algebra, let Mn(A) denote the C*-algebra of n × nmatrices a = [aij] with entries in A. For a linear map between C*-algebras, we define the multiplicity map by A linear map Ø is said to be completely bounded if Let B(A, B), CB(A, B) denote the Banach space of bounded linear maps, the set of completely bounded maps from A to B, respectively.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 181 - 184
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

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