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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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Compressions on partially ordered abelian groups
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by David J. Foulis PDF
Proc. Amer. Math. Soc. 132 (2004), 3581-3587 Request permission

Abstract:

If $A$ is a C*-algebra and $p\in A$ is a self-adjoint idempotent, the mapping $a\mapsto pap$ is called a compression on $A$. We introduce effect-ordered rings as generalizations of unital C*-algebras and characterize compressions on these rings. The resulting characterization leads to a generalization of the notion of compression on partially ordered abelian groups with order units.
References
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Additional Information
  • David J. Foulis
  • Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003
  • Email: foulis@math.umass.edu
  • Received by editor(s): June 8, 2003
  • Published electronically: July 22, 2004
  • Communicated by: David R. Larson
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 3581-3587
  • MSC (2000): Primary 47A20; Secondary 06F20, 06F25
  • DOI: https://doi.org/10.1090/S0002-9939-04-07644-0
  • MathSciNet review: 2084080