The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property
Author:
Vladimir Kadets
Journal:
Proc. Amer. Math. Soc. 149 (2021), 2579-2582
MSC (2020):
Primary 46B20
DOI:
https://doi.org/10.1090/proc/15448
Published electronically:
March 22, 2021
MathSciNet review:
4246808
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Abstract | References | Similar Articles | Additional Information
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
Keywords:
Banach space,
the Daugavet property,
big slices,
convex combination of slices
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
Article copyright:
© Copyright 2021
American Mathematical Society