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Some results on disjointly weakly compact sets

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dc.contributor.authorAkay, Baris
dc.contributor.authorGok, Omer
dc.date.accessioned2026-06-27T15:24:46Z
dc.date.issued2025
dc.description.abstractWe give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets. We compare disjointly weakly compact sets with almost Grothendieck sets, relatively compact sets, and weak reciprocal Dunford-Pettis sets. Consequently, we obtain new characterizations of the weak Grothendieck property, Schur property, and Banach lattices whose dual have an order continuous norm.en
dc.description.urihttps://doi.org/10.1515/dema-2025-0169
dc.identifier.doi10.1515/dema-2025-0169
dc.identifier.eissn2391-4661
dc.identifier.issn0420-1213
dc.identifier.issue1
dc.identifier.urihttps://hdl.handle.net/20.500.14981/70678
dc.identifier.volume58
dc.identifier.wos001582913400001
dc.language.isoeng
dc.publisherDE GRUYTER POLAND SP Z O O
dc.relation.ispartofDEMONSTRATIO MATHEMATICA
dc.rightsopenAccess
dc.subjectdisjointly weakly compact set
dc.subjectreciprocal Dunford-Pettis set
dc.subjectalmost Grothendieck set
dc.subjectBanach lattice
dc.subjectorder continuous norm
dc.subjectDUNFORD-PETTIS OPERATORS
dc.subjectLIMITED SETS
dc.subjectMathematics
dc.titleSome results on disjointly weakly compact sets
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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