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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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Zippin’s embedding theorem and amalgamations of classes of Banach spaces
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by Ondřej Kurka PDF
Proc. Amer. Math. Soc. 144 (2016), 4273-4277 Request permission

Abstract:

It was proved by Dodos and Ferenczi that the classes of Banach spaces with a separable dual and of separable reflexive Banach spaces are strongly bounded. In this paper, we provide an isometric version of this result.
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Additional Information
  • Ondřej Kurka
  • Affiliation: Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic
  • Email: kurka.ondrej@seznam.cz
  • Received by editor(s): July 14, 2015
  • Received by editor(s) in revised form: November 22, 2015
  • Published electronically: March 17, 2016
  • Additional Notes: This research was supported by the grant GAČR 14-04892P. The author is a junior researcher in the University Centre for Mathematical Modelling, Applied Analysis and Computational Mathematics (MathMAC). The author is a member of the Nečas Center for Mathematical Modeling.
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4273-4277
  • MSC (2010): Primary 46B04, 54H05; Secondary 46B10, 46B15, 46B70
  • DOI: https://doi.org/10.1090/proc/13045
  • MathSciNet review: 3531178