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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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Trace-class norm multipliers
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by Roshdi Khalil PDF
Proc. Amer. Math. Soc. 79 (1980), 379-387 Request permission

Abstract:

In this paper we study the pointwise multipliers of the space ${L^2}(X,\nu )\hat \otimes {L^2}(Y,\mu )$ for different measure spaces $(X,\nu )$ and $(Y,\mu )$. First we consider the case where X and Y are finite sets, then we use this to study the multipliers of ${L^2}(I,\nu )\hat \otimes {L^2}(I,\nu )$, where I is the unit interval and $\nu$ any Borel measure on I.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 379-387
  • MSC: Primary 47D25; Secondary 46E30, 47B10, 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0567977-2
  • MathSciNet review: 567977