Complete isometries - an illustration of noncommutative functional analysis

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This article, addressed to a general audience of functional analysts, is intended to be an illustration of a few basic principles from `noncommutative functional analysis', more specifically the new field of {\em operator spaces.} In our illustration we show how the classical characterization of (possibly non-surjective) isometries between function algebras generalizes to operator algebras. We give some variants of this characterization, and a new proof which has some advantages.
12 pages - Intended for Conference Proceedings

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Functional Analysis, Operator Algebras, Primary 46L07, 46L05, 47L30; Secondary 46J10

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http://salesiana.dossiersoluciones.com/handle/123456789/65561

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211098
 http://arxiv.org/abs/math/0211098

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arXiv