Logmodularity and isometries of operator algebras

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We generalize some facts about function algebras to operator algebras, using the `noncommutative Shilov boundary' or $C^*$-envelope first considered by Arveson. In the first part we study and characterize complete isometries between operator algebras. In the second part we introduce and study a notion of logmodularity for operator algebras. We also give a result on conditional expectations. Many miscellaneous applications are given.
24 pages

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Operator Algebras, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/64070

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205159
 http://arxiv.org/abs/math/0205159

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arXiv