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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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Primarité de $L^{p}(X)$
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by Michèle Capon PDF
Trans. Amer. Math. Soc. 276 (1983), 431-487 Request permission

Abstract:

Soit $X$ un espace de Banach à base symétrique. Nous étudions les opérateurs de ${L^p}(X)$ dans lui-même, en leur associant une "matrice" d’opérateurs de ${L^p}$. Cette technique nous permet de démontrer que pour tout $p$ réel dans $[1, + \infty [,{\text {l’espace}}\ L^p(X)$ est primaire.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 276 (1983), 431-487
  • MSC: Primary 46B20
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0688955-6
  • MathSciNet review: 688955