Matches in SemOpenAlex for { <https://semopenalex.org/work/W2920892051> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2920892051 endingPage "1129" @default.
- W2920892051 startingPage "1108" @default.
- W2920892051 abstract "Let X be a real Banach space with the closed unit ball BX and the dual X⁎. We say that X has the intersection property (I) (general intersection property (GI), respectively) if, for each countable family (for each family, respectively) {Bi}i∈A of equivalent closed unit balls such that BX=⋂i∈ABi, one has BX⁎⁎=⋂i∈ABi∘∘, where Bi∘∘ is the bipolar set of Bi, that is, the bidual unit ball corresponding to Bi. In this paper we study relations between properties (I) and (GI), and geometric and differentiability properties of X. For example, it follows by our results that if X is Fréchet smooth or X is a polyhedral Banach space then X satisfies property (GI), and hence also property (I). Moreover, for separable spaces X, properties (I) and (GI) are equivalent and they imply that X has the ball generated property. However, properties (I) and (GI) are not equivalent in general. One of our main results concerns C(K) spaces: under a certain topological condition on K, satisfied for example by all zero-dimensional compact spaces and hence by all scattered compact spaces, we prove that C(K) satisfies (I) if and only if every nonempty Gδ-subset of K has nonempty interior." @default.
- W2920892051 created "2019-03-22" @default.
- W2920892051 creator A5020844295 @default.
- W2920892051 creator A5028436267 @default.
- W2920892051 date "2019-07-01" @default.
- W2920892051 modified "2023-09-30" @default.
- W2920892051 title "Intersection properties of the unit ball" @default.
- W2920892051 cites W1974420799 @default.
- W2920892051 cites W1976490080 @default.
- W2920892051 cites W1991219227 @default.
- W2920892051 cites W1999287448 @default.
- W2920892051 cites W2029448512 @default.
- W2920892051 cites W2033330315 @default.
- W2920892051 cites W2038795313 @default.
- W2920892051 cites W2041815436 @default.
- W2920892051 cites W2090761650 @default.
- W2920892051 cites W2121819645 @default.
- W2920892051 cites W2498059247 @default.
- W2920892051 cites W2964083217 @default.
- W2920892051 cites W4241438804 @default.
- W2920892051 doi "https://doi.org/10.1016/j.jmaa.2019.03.008" @default.
- W2920892051 hasPublicationYear "2019" @default.
- W2920892051 type Work @default.
- W2920892051 sameAs 2920892051 @default.
- W2920892051 citedByCount "3" @default.
- W2920892051 countsByYear W29208920512021 @default.
- W2920892051 crossrefType "journal-article" @default.
- W2920892051 hasAuthorship W2920892051A5020844295 @default.
- W2920892051 hasAuthorship W2920892051A5028436267 @default.
- W2920892051 hasBestOaLocation W29208920511 @default.
- W2920892051 hasConcept C110729354 @default.
- W2920892051 hasConcept C114614502 @default.
- W2920892051 hasConcept C118615104 @default.
- W2920892051 hasConcept C122041747 @default.
- W2920892051 hasConcept C127413603 @default.
- W2920892051 hasConcept C132954091 @default.
- W2920892051 hasConcept C134306372 @default.
- W2920892051 hasConcept C146978453 @default.
- W2920892051 hasConcept C162362422 @default.
- W2920892051 hasConcept C18648836 @default.
- W2920892051 hasConcept C191948623 @default.
- W2920892051 hasConcept C202444582 @default.
- W2920892051 hasConcept C33923547 @default.
- W2920892051 hasConcept C64543145 @default.
- W2920892051 hasConcept C70710897 @default.
- W2920892051 hasConceptScore W2920892051C110729354 @default.
- W2920892051 hasConceptScore W2920892051C114614502 @default.
- W2920892051 hasConceptScore W2920892051C118615104 @default.
- W2920892051 hasConceptScore W2920892051C122041747 @default.
- W2920892051 hasConceptScore W2920892051C127413603 @default.
- W2920892051 hasConceptScore W2920892051C132954091 @default.
- W2920892051 hasConceptScore W2920892051C134306372 @default.
- W2920892051 hasConceptScore W2920892051C146978453 @default.
- W2920892051 hasConceptScore W2920892051C162362422 @default.
- W2920892051 hasConceptScore W2920892051C18648836 @default.
- W2920892051 hasConceptScore W2920892051C191948623 @default.
- W2920892051 hasConceptScore W2920892051C202444582 @default.
- W2920892051 hasConceptScore W2920892051C33923547 @default.
- W2920892051 hasConceptScore W2920892051C64543145 @default.
- W2920892051 hasConceptScore W2920892051C70710897 @default.
- W2920892051 hasFunder F4320311030 @default.
- W2920892051 hasFunder F4320313475 @default.
- W2920892051 hasFunder F4320333369 @default.
- W2920892051 hasIssue "2" @default.
- W2920892051 hasLocation W29208920511 @default.
- W2920892051 hasLocation W29208920512 @default.
- W2920892051 hasOpenAccess W2920892051 @default.
- W2920892051 hasPrimaryLocation W29208920511 @default.
- W2920892051 hasRelatedWork W1999551124 @default.
- W2920892051 hasRelatedWork W2022172691 @default.
- W2920892051 hasRelatedWork W2028658913 @default.
- W2920892051 hasRelatedWork W2102312055 @default.
- W2920892051 hasRelatedWork W2782804153 @default.
- W2920892051 hasRelatedWork W2920892051 @default.
- W2920892051 hasRelatedWork W2951279747 @default.
- W2920892051 hasRelatedWork W2963303661 @default.
- W2920892051 hasRelatedWork W314783339 @default.
- W2920892051 hasRelatedWork W3154690289 @default.
- W2920892051 hasVolume "475" @default.
- W2920892051 isParatext "false" @default.
- W2920892051 isRetracted "false" @default.
- W2920892051 magId "2920892051" @default.
- W2920892051 workType "article" @default.