Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995002294> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W1995002294 endingPage "495" @default.
- W1995002294 startingPage "487" @default.
- W1995002294 abstract "In this note we prove that if a differentiable function oscillates between −ε and ε on the boundary of the unit ball then there exists a point in the interior of the ball in which the differential of the function has norm equal or less than ε. This kind of approximate Rolle's theorem is interesting because an exact Rolle's theorem does not hold in many infinite dimensional Banach spaces. A characterization of those spaces in which Rolle's theorem does not hold is given within a large class of Banach spaces. This question is closely related to the existence of C 1 diffeomorphisms between a Banach space X and X {0} which are the identity out of a ball, and we prove that such diffeomorphisms exist for every C 1 smooth Banach space which can be linearly injected into a Banach space whose dual norm is locally uniformly rotund (LUR)." @default.
- W1995002294 created "2016-06-24" @default.
- W1995002294 creator A5004582784 @default.
- W1995002294 creator A5012686953 @default.
- W1995002294 creator A5063719814 @default.
- W1995002294 date "1997-09-01" @default.
- W1995002294 modified "2023-10-03" @default.
- W1995002294 title "Rolle's Theorem and Negligibility of Points in Infinite Dimensional Banach Spaces" @default.
- W1995002294 cites W1001768396 @default.
- W1995002294 cites W1490184824 @default.
- W1995002294 cites W1492700492 @default.
- W1995002294 cites W1569878307 @default.
- W1995002294 cites W2020332034 @default.
- W1995002294 cites W2067656518 @default.
- W1995002294 cites W2139502933 @default.
- W1995002294 cites W2331416395 @default.
- W1995002294 cites W806435638 @default.
- W1995002294 doi "https://doi.org/10.1006/jmaa.1997.5552" @default.
- W1995002294 hasPublicationYear "1997" @default.
- W1995002294 type Work @default.
- W1995002294 sameAs 1995002294 @default.
- W1995002294 citedByCount "16" @default.
- W1995002294 countsByYear W19950022942019 @default.
- W1995002294 countsByYear W19950022942020 @default.
- W1995002294 crossrefType "journal-article" @default.
- W1995002294 hasAuthorship W1995002294A5004582784 @default.
- W1995002294 hasAuthorship W1995002294A5012686953 @default.
- W1995002294 hasAuthorship W1995002294A5063719814 @default.
- W1995002294 hasBestOaLocation W19950022941 @default.
- W1995002294 hasConcept C100022809 @default.
- W1995002294 hasConcept C122041747 @default.
- W1995002294 hasConcept C132954091 @default.
- W1995002294 hasConcept C134306372 @default.
- W1995002294 hasConcept C165593952 @default.
- W1995002294 hasConcept C172294467 @default.
- W1995002294 hasConcept C17744445 @default.
- W1995002294 hasConcept C184908153 @default.
- W1995002294 hasConcept C191795146 @default.
- W1995002294 hasConcept C191948623 @default.
- W1995002294 hasConcept C19496378 @default.
- W1995002294 hasConcept C199539241 @default.
- W1995002294 hasConcept C202444582 @default.
- W1995002294 hasConcept C202615002 @default.
- W1995002294 hasConcept C33923547 @default.
- W1995002294 hasConceptScore W1995002294C100022809 @default.
- W1995002294 hasConceptScore W1995002294C122041747 @default.
- W1995002294 hasConceptScore W1995002294C132954091 @default.
- W1995002294 hasConceptScore W1995002294C134306372 @default.
- W1995002294 hasConceptScore W1995002294C165593952 @default.
- W1995002294 hasConceptScore W1995002294C172294467 @default.
- W1995002294 hasConceptScore W1995002294C17744445 @default.
- W1995002294 hasConceptScore W1995002294C184908153 @default.
- W1995002294 hasConceptScore W1995002294C191795146 @default.
- W1995002294 hasConceptScore W1995002294C191948623 @default.
- W1995002294 hasConceptScore W1995002294C19496378 @default.
- W1995002294 hasConceptScore W1995002294C199539241 @default.
- W1995002294 hasConceptScore W1995002294C202444582 @default.
- W1995002294 hasConceptScore W1995002294C202615002 @default.
- W1995002294 hasConceptScore W1995002294C33923547 @default.
- W1995002294 hasIssue "2" @default.
- W1995002294 hasLocation W19950022941 @default.
- W1995002294 hasLocation W19950022942 @default.
- W1995002294 hasLocation W19950022943 @default.
- W1995002294 hasOpenAccess W1995002294 @default.
- W1995002294 hasPrimaryLocation W19950022941 @default.
- W1995002294 hasRelatedWork W1994568791 @default.
- W1995002294 hasRelatedWork W2016794839 @default.
- W1995002294 hasRelatedWork W2023146025 @default.
- W1995002294 hasRelatedWork W2125932543 @default.
- W1995002294 hasRelatedWork W2141427936 @default.
- W1995002294 hasRelatedWork W2373067756 @default.
- W1995002294 hasRelatedWork W2406125020 @default.
- W1995002294 hasRelatedWork W2481768375 @default.
- W1995002294 hasRelatedWork W2490814394 @default.
- W1995002294 hasRelatedWork W2741748439 @default.
- W1995002294 hasVolume "213" @default.
- W1995002294 isParatext "false" @default.
- W1995002294 isRetracted "false" @default.
- W1995002294 magId "1995002294" @default.
- W1995002294 workType "article" @default.