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Proceedings of the American Mathematical Society
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Claim

The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 22 Mar 2021Embargo end date: 01 Jan 2020 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 149, pages 2,579-2,582 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Kadets, Vladimir;

doi: 10.1090/proc/15448 , 10.48550/arxiv.2008.07258

arXiv: 2008.07258

The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

Abstract

We demonstrate the result stated in the title, thus answering an open question asked by Julio Becerra Guerrero, Gin��s L��pez-P��rez and Abraham Rueda Zoca in J. Conv. Anal. \textbf{25}, no. 3 (2018).

4 pages

Related Organizations
Keywords

Mathematics - Functional Analysis, big slices, 46B20, Geometry and structure of normed linear spaces, convex combination of slices, Daugavet property, FOS: Mathematics, Isometric theory of Banach spaces, Functional Analysis (math.FA)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 9
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
Green
bronze