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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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Some applications of convolution of operators on Banach spaces
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by Patrick N. Dowling PDF
Proc. Amer. Math. Soc. 116 (1992), 191-195 Request permission

Abstract:

Using convolution between functions and cone absolutely summing operators, we obtain characterizations of Banach spaces with the Radon-Nikodym property, the analytic Radon-Nikodym property and Banach spaces not containing a copy of ${c_0}$.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 191-195
  • MSC: Primary 46B22; Secondary 43A46, 46G10, 47B10, 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1094499-3
  • MathSciNet review: 1094499