Logmodularity and isometries of operator algebras
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
We generalize some facts about function algebras to operator algebras, using the `noncommutative Shilov boundary' or -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.
Cite
@article{arxiv.math/0205159,
title = {Logmodularity and isometries of operator algebras},
author = {David P. Blecher and Louis E. Labuschagne},
journal= {arXiv preprint arXiv:math/0205159},
year = {2007}
}
Comments
24 pages