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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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$p$-factorable operators
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by C. V. Hutton PDF
Trans. Amer. Math. Soc. 205 (1975), 167-180 Request permission

Abstract:

Several classes of operators on Banach spaces, defined by certain summability conditions on the $k$th approximation numbers, are introduced and studied. Characterizations of these operators in terms of tensor-product representations are obtained. The relationship between these operators and other classes of operators introduced by various authors is studied in some detail.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 205 (1975), 167-180
  • MSC: Primary 47B10
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0397462-5
  • MathSciNet review: 0397462