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Open Mathematics
Article . 2010 . Peer-reviewed
License: CC BY NC ND
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Open Mathematics
Article . 2010
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Open Mathematics
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Sums of SCD sets and their applications to SCD operators and narrow operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2010 English Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 8, pages 129-134 (eissn: 2391-5455, Copyright policy )
Authors: Vladimir Kadets; Varvara Shepelska;

doi: 10.2478/s11533-009-0075-7

Sums of SCD sets and their applications to SCD operators and narrow operators

Abstract

Abstract We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given.

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Keywords

46b20, narrow operators, 46b22, daugavet equation, radon-nikodým property, QA1-939, containing of ℓ1, 46b03, Mathematics

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citations
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!
3
Average
Average
Average
gold