Vol. 53, No. 1, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Commutativity properties in Banach -algebras

Bertram Yood

Vol. 53 (1974), No. 1, 307–317
Abstract

Let A be a Banach -algebra which has a faithful -representation as bounded linear operators on a flilbert space. It follows from Fuglede’s theorem concerning normal operators on a Hilbert space that xy = yx for all x,y in A where XX = XX and xy = yx. Other commutativity properties in suitable Banach -algebras A involving elements not necessarily normal are considered.

Mathematical Subject Classification 2000
Primary: 46K05
Milestones
Received: 12 November 1973
Published: 1 July 1974
Authors
Bertram Yood