Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

Subalgebras of $L_{\infty }$ of the circle group
HTML articles powered by AMS MathViewer

by Leon Brown
Proc. Amer. Math. Soc. 25 (1970), 585-587
DOI: https://doi.org/10.1090/S0002-9939-1970-0259501-2
PDF | Request permission

Abstract:

In this note, we prove a theorem about subalgebras of a Banach algebra. Thus a theorem of J. P. Kahane and Y. Katznelson implies a theorem of R. Salem and these theorems imply that a number of subspaces of ${L_\infty }$ of the circle group are not algebras.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42.56, 46.00
  • Retrieve articles in all journals with MSC: 42.56, 46.00
Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 585-587
  • MSC: Primary 42.56; Secondary 46.00
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259501-2
  • MathSciNet review: 0259501