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 2020 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.

 

On Boolean algebras of projections and scalar-type spectral operators
HTML articles powered by AMS MathViewer

by W. Ricker PDF
Proc. Amer. Math. Soc. 87 (1983), 73-77 Request permission

Abstract:

It is shown that the weakly closed operator algebra generated by an equicontinuous $\sigma$-complete Boolean algebra of projections on a quasi-complete locally convex space consists entirely of scalar-type operators. This extends W. Badé’s well-known theorem that the same assertion is valid for Banach spaces; however, the technique of proof here differs from his method, which extends only to metrizable spaces.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B40, 47D30
  • Retrieve articles in all journals with MSC: 47B40, 47D30
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 73-77
  • MSC: Primary 47B40; Secondary 47D30
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0677235-6
  • MathSciNet review: 677235