Matches in SemOpenAlex for { <https://semopenalex.org/work/W2124077352> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2124077352 abstract "We study the homogeneity of isosceles orthogonality, which is one of the most important orthogonality types in normed linear spaces, from two viewpoints. On the one hand, we study the relation between homogeneous direction of isosceles orthogonality and other notions including isometric reflection vectors and L2-summand vectors and show that a Banach space X is a Hilbert space if and only if the relative interior of the set of homogeneous directions of isosceles orthogonality in the unit sphere of X is not empty. On the other hand, we introduce a geometric constant NH X to measure the non-homogeneity of isosceles orthogonality. It is proved that 0 ≤ NH X ≤ 2, NH X = 0 if and only if X is a Hilbert space, and NH X = 2 if and only if X is not uniformly non-square. Mathematics Subject Classification (2010): 46B20; 46C15" @default.
- W2124077352 created "2016-06-24" @default.
- W2124077352 creator A5029615731 @default.
- W2124077352 creator A5091557548 @default.
- W2124077352 date "2011-10-11" @default.
- W2124077352 modified "2023-09-27" @default.
- W2124077352 title "Homogeneity of isosceles orthogonality and related inequalities" @default.
- W2124077352 cites W113482007 @default.
- W2124077352 cites W1551516178 @default.
- W2124077352 cites W1581940803 @default.
- W2124077352 cites W1974059087 @default.
- W2124077352 cites W1996238807 @default.
- W2124077352 cites W2046086057 @default.
- W2124077352 cites W2052833450 @default.
- W2124077352 cites W2077804224 @default.
- W2124077352 cites W2089938785 @default.
- W2124077352 cites W2096488658 @default.
- W2124077352 cites W2112251421 @default.
- W2124077352 doi "https://doi.org/10.1186/1029-242x-2011-84" @default.
- W2124077352 hasPublicationYear "2011" @default.
- W2124077352 type Work @default.
- W2124077352 sameAs 2124077352 @default.
- W2124077352 citedByCount "7" @default.
- W2124077352 countsByYear W21240773522013 @default.
- W2124077352 countsByYear W21240773522014 @default.
- W2124077352 countsByYear W21240773522015 @default.
- W2124077352 countsByYear W21240773522016 @default.
- W2124077352 countsByYear W21240773522021 @default.
- W2124077352 countsByYear W21240773522022 @default.
- W2124077352 crossrefType "journal-article" @default.
- W2124077352 hasAuthorship W2124077352A5029615731 @default.
- W2124077352 hasAuthorship W2124077352A5091557548 @default.
- W2124077352 hasBestOaLocation W21240773521 @default.
- W2124077352 hasConcept C105795698 @default.
- W2124077352 hasConcept C114614502 @default.
- W2124077352 hasConcept C132954091 @default.
- W2124077352 hasConcept C134306372 @default.
- W2124077352 hasConcept C142259097 @default.
- W2124077352 hasConcept C17137986 @default.
- W2124077352 hasConcept C171739935 @default.
- W2124077352 hasConcept C191948623 @default.
- W2124077352 hasConcept C202444582 @default.
- W2124077352 hasConcept C2524010 @default.
- W2124077352 hasConcept C33923547 @default.
- W2124077352 hasConcept C62799726 @default.
- W2124077352 hasConcept C66882249 @default.
- W2124077352 hasConcept C98653994 @default.
- W2124077352 hasConceptScore W2124077352C105795698 @default.
- W2124077352 hasConceptScore W2124077352C114614502 @default.
- W2124077352 hasConceptScore W2124077352C132954091 @default.
- W2124077352 hasConceptScore W2124077352C134306372 @default.
- W2124077352 hasConceptScore W2124077352C142259097 @default.
- W2124077352 hasConceptScore W2124077352C17137986 @default.
- W2124077352 hasConceptScore W2124077352C171739935 @default.
- W2124077352 hasConceptScore W2124077352C191948623 @default.
- W2124077352 hasConceptScore W2124077352C202444582 @default.
- W2124077352 hasConceptScore W2124077352C2524010 @default.
- W2124077352 hasConceptScore W2124077352C33923547 @default.
- W2124077352 hasConceptScore W2124077352C62799726 @default.
- W2124077352 hasConceptScore W2124077352C66882249 @default.
- W2124077352 hasConceptScore W2124077352C98653994 @default.
- W2124077352 hasIssue "1" @default.
- W2124077352 hasLocation W21240773521 @default.
- W2124077352 hasOpenAccess W2124077352 @default.
- W2124077352 hasPrimaryLocation W21240773521 @default.
- W2124077352 hasRelatedWork W2012260562 @default.
- W2124077352 hasRelatedWork W2056739994 @default.
- W2124077352 hasRelatedWork W2124077352 @default.
- W2124077352 hasRelatedWork W2148501403 @default.
- W2124077352 hasRelatedWork W2420174945 @default.
- W2124077352 hasRelatedWork W2984229686 @default.
- W2124077352 hasRelatedWork W3121089296 @default.
- W2124077352 hasRelatedWork W3190171977 @default.
- W2124077352 hasRelatedWork W4294069004 @default.
- W2124077352 hasRelatedWork W4361860254 @default.
- W2124077352 hasVolume "2011" @default.
- W2124077352 isParatext "false" @default.
- W2124077352 isRetracted "false" @default.
- W2124077352 magId "2124077352" @default.
- W2124077352 workType "article" @default.