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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 product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space
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by Lixin Cheng and Marián Fabian PDF
Proc. Amer. Math. Soc. 129 (2001), 3539-3541 Request permission

Abstract:

This paper shows that the product of a Gâteaux differentiability space and a separable Banach space is again a Gâteaux differentiability space.
References
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Additional Information
  • Lixin Cheng
  • Affiliation: Department of Mathematics, Xiamen University, Xiamen 361005, People’s Republic of China
  • Marián Fabian
  • Affiliation: Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67 Prague 1, Czech Republic
  • MR Author ID: 64760
  • Received by editor(s): March 16, 2000
  • Published electronically: July 2, 2001
  • Additional Notes: The first author was supported by NSFC 10071063, F00021
    The second author was supported by GA ČR 201-98-1449, GA ČR 201/01/1198, and AV 1019003
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 3539-3541
  • MSC (2000): Primary 46B20, 46G05, 26E15, 58C20
  • DOI: https://doi.org/10.1090/S0002-9939-01-06252-9
  • MathSciNet review: 1860485