Vol. 32, No. 3, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Geometry of the unit sphere of a Cāˆ—-algebra and its dual

Charles A. Akemann and Bernard Russo

Vol. 32 (1970), No. 3, 575–585
Abstract

In this study we exploit as a main tool a polar decomposition for linear functionals on operator algebras, introduced in 1958 by Sakai, to determine various types of extremal behavior in the unit spheres of C-algebras and their duals. We discuss exposed points and complex extreme points as well as extreme points.

Mathematical Subject Classification
Primary: 46.65
Milestones
Received: 11 August 1969
Published: 1 March 1970
Authors
Charles A. Akemann
Bernard Russo