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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An example in the space of bounded operators from $C(X)$ to $C(Y)$
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by Samuel Kaplan
Proc. Amer. Math. Soc. 38 (1973), 595-597
DOI: https://doi.org/10.1090/S0002-9939-1973-0318959-3
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Abstract:

Let $X,Y$ be compact spaces, and $C(X),C(Y)$ the corresponding Banach lattices of real continuous functions. It is shown that the partially ordered space of bounded operators from $C(X)$ to $C(Y)$ need not be generated by its positive cone.
References
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 595-597
  • MSC: Primary 47B55; Secondary 46A40, 46E05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0318959-3
  • MathSciNet review: 0318959