Complete isometries - an illustration of noncommutative functional analysis
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/0211098,
title = {Complete isometries - an illustration of noncommutative functional analysis},
author = {David P. Blecher and Damon M. Hay},
journal= {arXiv preprint arXiv:math/0211098},
year = {2007}
}
Comments
12 pages - Intended for Conference Proceedings