Matches in SemOpenAlex for { <https://semopenalex.org/work/W2090568520> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2090568520 endingPage "346" @default.
- W2090568520 startingPage "328" @default.
- W2090568520 abstract "Starlike bodies are interesting in nonlinear functional analysis because they are strongly related to bump functions and to n -homogeneous polynomials on Banach spaces, and their geometrical properties are thus worth studying. In this paper we deal with the question whether James' theorem on the characterization of reflexivity holds for (smooth) starlike bodies, and we establish that a feeble form of this result is trivially true for starlike bodies in nonreflexive Banach spaces, but a reasonable strong version of James' theorem for starlike bodies is never true, even in the smooth case. We also study the related question as to how large the set of gradients of a bump function can be, and among other results we obtain the following new characterization of smoothness in Banach spaces: a Banach space X has a C 1 Lipschitz bump function if and only if there exists another C 1 smooth Lipschitz bump function whose set of gradients contains the unit ball of the dual space X *. This result might also be relevant to the problem of finding an Asplund space with no smooth bump functions." @default.
- W2090568520 created "2016-06-24" @default.
- W2090568520 creator A5009524460 @default.
- W2090568520 creator A5012686953 @default.
- W2090568520 date "2001-03-01" @default.
- W2090568520 modified "2023-10-02" @default.
- W2090568520 title "James' Theorem Fails for Starlike Bodies" @default.
- W2090568520 cites W1536983204 @default.
- W2090568520 cites W1972982445 @default.
- W2090568520 cites W1995002294 @default.
- W2090568520 cites W1995021736 @default.
- W2090568520 cites W2014703136 @default.
- W2090568520 cites W2035149112 @default.
- W2090568520 cites W2048223344 @default.
- W2090568520 cites W4232518494 @default.
- W2090568520 cites W43971794 @default.
- W2090568520 doi "https://doi.org/10.1006/jfan.2000.3696" @default.
- W2090568520 hasPublicationYear "2001" @default.
- W2090568520 type Work @default.
- W2090568520 sameAs 2090568520 @default.
- W2090568520 citedByCount "25" @default.
- W2090568520 countsByYear W20905685202020 @default.
- W2090568520 crossrefType "journal-article" @default.
- W2090568520 hasAuthorship W2090568520A5009524460 @default.
- W2090568520 hasAuthorship W2090568520A5012686953 @default.
- W2090568520 hasBestOaLocation W20905685201 @default.
- W2090568520 hasConcept C102634674 @default.
- W2090568520 hasConcept C114614502 @default.
- W2090568520 hasConcept C132954091 @default.
- W2090568520 hasConcept C134306372 @default.
- W2090568520 hasConcept C138885662 @default.
- W2090568520 hasConcept C142730499 @default.
- W2090568520 hasConcept C171250308 @default.
- W2090568520 hasConcept C191948623 @default.
- W2090568520 hasConcept C192562407 @default.
- W2090568520 hasConcept C202444582 @default.
- W2090568520 hasConcept C22324862 @default.
- W2090568520 hasConcept C2778572836 @default.
- W2090568520 hasConcept C2780841128 @default.
- W2090568520 hasConcept C33923547 @default.
- W2090568520 hasConcept C41895202 @default.
- W2090568520 hasConcept C66882249 @default.
- W2090568520 hasConceptScore W2090568520C102634674 @default.
- W2090568520 hasConceptScore W2090568520C114614502 @default.
- W2090568520 hasConceptScore W2090568520C132954091 @default.
- W2090568520 hasConceptScore W2090568520C134306372 @default.
- W2090568520 hasConceptScore W2090568520C138885662 @default.
- W2090568520 hasConceptScore W2090568520C142730499 @default.
- W2090568520 hasConceptScore W2090568520C171250308 @default.
- W2090568520 hasConceptScore W2090568520C191948623 @default.
- W2090568520 hasConceptScore W2090568520C192562407 @default.
- W2090568520 hasConceptScore W2090568520C202444582 @default.
- W2090568520 hasConceptScore W2090568520C22324862 @default.
- W2090568520 hasConceptScore W2090568520C2778572836 @default.
- W2090568520 hasConceptScore W2090568520C2780841128 @default.
- W2090568520 hasConceptScore W2090568520C33923547 @default.
- W2090568520 hasConceptScore W2090568520C41895202 @default.
- W2090568520 hasConceptScore W2090568520C66882249 @default.
- W2090568520 hasIssue "2" @default.
- W2090568520 hasLocation W20905685201 @default.
- W2090568520 hasLocation W20905685202 @default.
- W2090568520 hasLocation W20905685203 @default.
- W2090568520 hasOpenAccess W2090568520 @default.
- W2090568520 hasPrimaryLocation W20905685201 @default.
- W2090568520 hasRelatedWork W1968613955 @default.
- W2090568520 hasRelatedWork W1968723448 @default.
- W2090568520 hasRelatedWork W2037678166 @default.
- W2090568520 hasRelatedWork W2045683396 @default.
- W2090568520 hasRelatedWork W2089900962 @default.
- W2090568520 hasRelatedWork W2090568520 @default.
- W2090568520 hasRelatedWork W3026926207 @default.
- W2090568520 hasRelatedWork W3087039240 @default.
- W2090568520 hasRelatedWork W4212986122 @default.
- W2090568520 hasRelatedWork W4297977163 @default.
- W2090568520 hasVolume "180" @default.
- W2090568520 isParatext "false" @default.
- W2090568520 isRetracted "false" @default.
- W2090568520 magId "2090568520" @default.
- W2090568520 workType "article" @default.