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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On C$^*$-extreme points
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by Bojan Magajna PDF
Proc. Amer. Math. Soc. 129 (2001), 771-780 Request permission

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
  • 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
  • © Copyright 2000 American Mathematical Society
  • 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
  • MathSciNet review: 1802000