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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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Solutions of several problems in the theory of compact positive operators
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by Y. A. Abramovich and A. W. Wickstead PDF
Proc. Amer. Math. Soc. 123 (1995), 3021-3026 Request permission

Abstract:

We construct a compactly dominated compact operator S on a Dedekind complete Banach lattice whose modulus $|S|$ is not compact. We also construct a compactly dominated compact operator without modulus.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3021-3026
  • MSC: Primary 47B65; Secondary 47B07
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1283534-8
  • MathSciNet review: 1283534