Complete isometries into C*-algebras
David P. Blecher, Damon M. Hay
TL;DR
This paper characterizes into complete isometries between C*-algebras, extending classical results and exploring their relation to the noncommutative Shilov boundary within second duals.
Contribution
It provides new characterizations of into complete isometries between C*-algebras, generalizing Holsztynski's classical result.
Findings
Various characterizations of into complete isometries
Connection to noncommutative Shilov boundary
Extension of classical isometry results
Abstract
We give various characterizations of into (not necessarily onto) complete isometries between -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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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Holomorphic and Operator Theory