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On C -extreme points
Author(s):
Bojan
Magajna
Journal:
Proc. Amer. Math. Soc.
129
(2001),
771-780.
MSC (2000):
Primary 47L07;
Secondary 46L10
Posted:
September 19, 2000
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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.
References:
-
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-convexity, Linear Algebra and Appl. 35 (1981), 63-78. MR 82b:46077 - 11.
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- 14.
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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:
10.1090/S0002-9939-00-05715-4
PII:
S 0002-9939(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
Posted:
September 19, 2000
Additional Notes:
This research was supported in part by the Ministry for Science of Slovenia
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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