Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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.

 

A reduction theory for non-self-adjoint operator algebras
HTML articles powered by AMS MathViewer

by E. A. Azoff, C. K. Fong and F. Gilfeather PDF
Trans. Amer. Math. Soc. 224 (1976), 351-366 Request permission

Abstract:

It is shown that every strongly closed algebra of operators acting on a separable Hilbert space can be expressed as a direct integral of irreducible algebras. In particular, every reductive algebra is the direct integral of transitive algebras. This decomposition is used to study the relationship between the transitive and reductive algebra problems. The final section of the paper shows how to view direct integrals of algebras as measurable algebra-valued functions.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 46L15, 47A15
  • Retrieve articles in all journals with MSC: 46L15, 47A15
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 224 (1976), 351-366
  • MSC: Primary 46L15; Secondary 47A15
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0448109-1
  • MathSciNet review: 0448109