On C-extreme points

Author:
Bojan Magajna

Journal:
Proc. Amer. Math. Soc. **129** (2001), 771-780

MSC (2000):
Primary 47L07; Secondary 46L10

DOI:
https://doi.org/10.1090/S0002-9939-00-05715-4

Published electronically:
September 19, 2000

MathSciNet review:
1802000

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Each weak* compact C-convex set in a hyperfinite factor (in particular in ) is the weak* closure of the C-convex hull of its C-extreme points.

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Additional Information

**Bojan Magajna**

Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana 1000, Slovenia

Email:
Bojan.Magajna@fmf.uni-lj.si

DOI:
https://doi.org/10.1090/S0002-9939-00-05715-4

Keywords:
C$^*$-convex sets,
C$^*$-extreme points,
hyperfinite factors

Received by editor(s):
April 22, 1998

Received by editor(s) in revised form:
May 10, 1999

Published electronically:
September 19, 2000

Additional Notes:
This research was supported in part by the Ministry for Science of Slovenia

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society