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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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On lattice summing operators
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by Jerzy Szulga PDF
Proc. Amer. Math. Soc. 87 (1983), 258-262 Request permission

Abstract:

Given a Banach space $E$ and a Banach lattice $L$, necessary and sufficient conditions on $E$ and $L$ are given such that every lattice summing operator $T:E \to L$ (cf. Introduction) is absolutely summing.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 258-262
  • MSC: Primary 47B10; Secondary 46B30, 47B55
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0681831-X
  • MathSciNet review: 681831