Complete isometries - an illustration of noncommutative functional analysis

Details Complete isometries - an illustration of noncommutative functional analysis Complete isometries - an illustration of noncommutative functional analysis

2002-11-05

arxiv.org/abs/math/0211098v1

Mathematics

Functional Analysis

12 pages - Intended for Conference Proceedings

Scientific paper

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.

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