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Complete isometries into C*-algebras

David P. Blecher, Damon M. Hay

math.OAarXiv:math/0203182

Abstract

We give various characterizations of into (not necessarily onto) complete isometries between C*-algebras, generalizing a classical result of Holsztynski. Our results are related to a natural embedding of the noncommutative Shilov boundary in a second dual.

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