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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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The numerical index of the $L_{p}$ space
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by Elmouloudi Ed-Dari and Mohamed Amine Khamsi PDF
Proc. Amer. Math. Soc. 134 (2006), 2019-2025 Request permission

Abstract:

We give a partial answer to the problem of computing the numerical index of $L_{p}[0, 1]$ for $1<p<\infty$.
References
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Additional Information
  • Elmouloudi Ed-Dari
  • Affiliation: Faculté des Sciences Jean Perrin, Université D’Artois, SP 18, 62307-Lens Cedex, France
  • Email: Elmouloudi.Eddari@euler.univ.artois.fr
  • Mohamed Amine Khamsi
  • Affiliation: Department of Mathematical Sciences, University of Texas at El Paso, 500 West University Avenue, El Paso, Texas 79968-0514
  • Email: mohamed@math.utep.edu
  • Received by editor(s): October 14, 2004
  • Received by editor(s) in revised form: February 10, 2005
  • Published electronically: December 19, 2005
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2019-2025
  • MSC (2000): Primary 46B20, 47A12
  • DOI: https://doi.org/10.1090/S0002-9939-05-08231-6
  • MathSciNet review: 2215771