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Twisted sums of c0 and C(K)-spaces: A solution to the CCKY problem

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dc.abstract.enWe consider the class of Banach spaces Y for which c<em><sub>0</sub></em> admits a nontrivial twisted sum with Y. We present a characterization of such spaces Y in terms of propertiesof the weak<sup>∗ </sup>topology on Y<sup>∗</sup>. We prove that under the continuum hypothesis c<em><sub>0</sub></em> has anontrivial twisted sum with every space of the form Y=C(K), where K is compact andnot metrizable. This gives a consistent affirmative solution to a problem posed by Cabello,Castillo, Kalton and Yost.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorPlebanek, Grzegorz
dc.contributor.authorAvilés, Antonio
dc.contributor.authorMarciszewski, Witold
dc.date.accessioned2024-01-26T11:08:12Z
dc.date.available2024-01-26T11:08:12Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.volume369
dc.identifier.doi10.1016/J.AIM.2020.107168
dc.identifier.issn0001-8708
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/123929
dc.identifier.weblinkhttp://dx.doi.org/10.1016/j.aim.2020.107168
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAdvances in Mathematics
dc.relation.pages1-31
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.entwisted sum of Banach spaces
dc.subject.enthe space c0
dc.subject.enspace of continuous functions
dc.subject.enthe continuum hypothesis
dc.titleTwisted sums of c0 and C(K)-spaces: A solution to the CCKY problem
dc.typeJournalArticle
dspace.entity.typePublication