Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Logmodularity and isometries of operator algebras
HTML articles powered by AMS MathViewer

by David P. Blecher and Louis E. Labuschagne PDF
Trans. Amer. Math. Soc. 355 (2003), 1621-1646 Request permission


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 provided.
Similar Articles
Additional Information
  • David P. Blecher
  • Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3008
  • Email:
  • Louis E. Labuschagne
  • Affiliation: Department of Mathematics, Applied Mathematics and Astronomy, P.O. Box 392, 0003 UNISA, South Africa
  • MR Author ID: 254377
  • Email:
  • Received by editor(s): May 15, 2002
  • Received by editor(s) in revised form: September 4, 2002
  • Published electronically: December 4, 2002
  • Additional Notes: This research was supported in part by grants from the National Science Foundation and the University of South Africa.
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 1621-1646
  • MSC (2000): Primary 46L07, 46J10, 46L52, 47L30; Secondary 46E25, 47B33
  • DOI:
  • MathSciNet review: 1946408