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Glasgow Mathematical Journal
Article . 1987 . Peer-reviewed
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A norm property for spaces of completely bounded maps between C*-algebras

A norm property for spaces of completely bounded maps between \(C^ *\)- algebras
Authors: Huruya, Tadasi;

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

Abstract

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.

Keywords

General theory of \(C^*\)-algebras, General theory of von Neumann algebras, Applications of selfadjoint operator algebras to physics, separable infinite dimensional \(C^ *\)-algebra, space of bounded linear maps, irreducible representation, multiplicity map, set of completely bounded maps, non-subhomogeneous algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
bronze