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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Linear combinations of projections in von Neumann algebras
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by Stanisław Goldstein and Adam Paszkiewicz PDF
Proc. Amer. Math. Soc. 116 (1992), 175-183 Request permission

Abstract:

Any operator in a von Neumann algebra is a linear combination of a finite number of projections from the algebra with coefficients from the center of the algebra. Those von Neumann algebras that are the complex linear span of their projections are identified.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 175-183
  • MSC: Primary 46L10; Secondary 47D25
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1094501-9
  • MathSciNet review: 1094501