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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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A JC-algebra which is not the range of a positive projection on a $C^ \ast$-algebra
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by A. Guyan Robertson PDF
Proc. Amer. Math. Soc. 98 (1986), 455-456 Request permission

Abstract:

An example is given of a $JC$-algebra which is not the range of any positive projection on the selfadjoint part of its generated ${C^*}$-algebra.
References
  • Edward G. Effros and Erling Størmer, Positive projections and Jordan structure in operator algebras, Math. Scand. 45 (1979), no. 1, 127–138. MR 567438, DOI 10.7146/math.scand.a-11830
    • H. Hanche-Olsen and E. Størmer, Jordan operator algebras, Pitman, London, 1984.
  • Gert K. Pedersen, $C^{\ast }$-algebras and their automorphism groups, London Mathematical Society Monographs, vol. 14, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1979. MR 548006
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 455-456
  • MSC: Primary 46L05; Secondary 17C50, 17C65, 46L70
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0857939-5
  • MathSciNet review: 857939