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Complete isometries - an illustration of noncommutative functional analysis | | David P. Blecher
; Damon M. Hay
; | | Date: |
5 Nov 2002 | | Subject: | Functional Analysis; Operator Algebras MSC-class: Primary 46L07, 46L05, 47L30; Secondary 46J10 | math.FA math.OA | | 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. | | Source: | arXiv, math.FA/0211098 | | Services: | Forum | Review | PDF | Favorites | |
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