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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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A Gâteaux differentiability space that is not weak Asplund
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by Warren B. Moors and Sivajah Somasundaram PDF
Proc. Amer. Math. Soc. 134 (2006), 2745-2754 Request permission

Abstract:

In this paper we construct a Gâteaux differentiability space that is not a weak Asplund space. Thus we answer a question raised by David Larman and Robert Phelps from 1979.
References
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Additional Information
  • Warren B. Moors
  • Affiliation: Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
  • Email: moors@math.auckland.ac.nz
  • Sivajah Somasundaram
  • Affiliation: Department of Mathematics, The University of Waikato, Private Bag 3105, Hamilton 2001, New Zealand
  • Email: ss15@math.waikato.ac.nz
  • Received by editor(s): August 31, 2002
  • Published electronically: April 7, 2006
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2745-2754
  • MSC (2000): Primary 54C60, 46B20, 54C10
  • DOI: https://doi.org/10.1090/S0002-9939-06-08402-4
  • MathSciNet review: 2213755