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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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$o$-weakly compact mappings of Riesz spaces
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by P. G. Dodds PDF
Trans. Amer. Math. Soc. 214 (1975), 389-402 Request permission

Abstract:

A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 214 (1975), 389-402
  • MSC: Primary 47B55; Secondary 46E40
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0385629-1
  • MathSciNet review: 0385629