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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 diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property
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by Vladimir Kadets PDF
Proc. Amer. Math. Soc. 149 (2021), 2579-2582 Request permission

Abstract:

We demonstrate the result stated in the title, thus answering an open question asked by Julio Becerra Guerrero, Ginés López-Pérez and Abraham Rueda Zoca [J. Convex. Anal. 25, (2018), pp. 817–840].
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Additional Information
  • Vladimir Kadets
  • Affiliation: School of Mathematics and Informatics, V. N. Karazin Kharkiv National University, 61022 Kharkiv, Ukraine
  • MR Author ID: 202226
  • ORCID: 0000-0002-5606-2679
  • Email: v.kateds@karazin.ua
  • Received by editor(s): October 11, 2020
  • Published electronically: March 22, 2021
  • Additional Notes: The research was partially supported by project PGC2018-093794-B-I00 (MCIU/AEI/FEDER, UE), and on its final stage by National Research Foundation of Ukraine funded by Ukrainian State budget in frames of project 2020.02/0096 “Operators in infinite-dimensional spaces: the interplay between geometry, algebra and topology”.
  • Communicated by: Stephen Dilworth
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2579-2582
  • MSC (2020): Primary 46B20
  • DOI: https://doi.org/10.1090/proc/15448
  • MathSciNet review: 4246808