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Proceedings of the American Mathematical Society
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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 | References | Similar articles | Additional information

Abstract: Each weak* compact C$^*$-convex set in a hyperfinite factor (in particular in $\mathrm{B}(\mathcal{H})$) 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: 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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