Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022061504> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2022061504 endingPage "314" @default.
- W2022061504 startingPage "303" @default.
- W2022061504 abstract "Let AlgN be a nest algebra associated with the nest N on a (real or complex) Hilbert space H. We say that AlgN is zero product determined if for every linear space N and every bilinear map ϕ:AlgN×AlgN→V the following holds: if ϕ(A,B) = 0 whenever AB = 0, then there exists a linear map T such that ϕ(A,B)=T(AB) for all A,B∈AlgN. If we replace in this definition the ordinary product by the Jordan (resp., Lie) product, then we say that AlgN is zero Jordan (resp., Lie) product determined. We show that any finite nest algebra over a complex Hilbert space is zero product determined, and it is also zero Jordan product determined. Moreover, we show that any finite-dimensional nest algebra on a (real or complex) Hilbert space is zero Lie (resp., associative, Jordan) product determined. In addition, we characterize separately strongly operator topology continuous bilinear map ϕ from AlgN × AlgN into a topological linear space V with the property that ϕ(A,B)=0 whenever AB = 0 or ϕ(A,B)=0 whenever AB + BA = 0." @default.
- W2022061504 created "2016-06-24" @default.
- W2022061504 creator A5083067189 @default.
- W2022061504 date "2013-01-01" @default.
- W2022061504 modified "2023-10-16" @default.
- W2022061504 title "Zero product determined some nest algebras" @default.
- W2022061504 cites W1973555990 @default.
- W2022061504 cites W1984474434 @default.
- W2022061504 cites W1991310667 @default.
- W2022061504 cites W2017497858 @default.
- W2022061504 cites W2022471939 @default.
- W2022061504 cites W2049687882 @default.
- W2022061504 cites W2067772232 @default.
- W2022061504 cites W2094209154 @default.
- W2022061504 cites W2098561286 @default.
- W2022061504 cites W2136169847 @default.
- W2022061504 doi "https://doi.org/10.1016/j.laa.2012.07.031" @default.
- W2022061504 hasPublicationYear "2013" @default.
- W2022061504 type Work @default.
- W2022061504 sameAs 2022061504 @default.
- W2022061504 citedByCount "6" @default.
- W2022061504 countsByYear W20220615042013 @default.
- W2022061504 countsByYear W20220615042014 @default.
- W2022061504 countsByYear W20220615042015 @default.
- W2022061504 countsByYear W20220615042016 @default.
- W2022061504 countsByYear W20220615042019 @default.
- W2022061504 crossrefType "journal-article" @default.
- W2022061504 hasAuthorship W2022061504A5083067189 @default.
- W2022061504 hasBestOaLocation W20220615041 @default.
- W2022061504 hasConcept C118615104 @default.
- W2022061504 hasConcept C123222754 @default.
- W2022061504 hasConcept C13336665 @default.
- W2022061504 hasConcept C136119220 @default.
- W2022061504 hasConcept C138885662 @default.
- W2022061504 hasConcept C142685569 @default.
- W2022061504 hasConcept C155058155 @default.
- W2022061504 hasConcept C202444582 @default.
- W2022061504 hasConcept C207264727 @default.
- W2022061504 hasConcept C2524010 @default.
- W2022061504 hasConcept C2776379255 @default.
- W2022061504 hasConcept C2778572836 @default.
- W2022061504 hasConcept C2780813799 @default.
- W2022061504 hasConcept C33923547 @default.
- W2022061504 hasConcept C41895202 @default.
- W2022061504 hasConcept C51568863 @default.
- W2022061504 hasConcept C518143113 @default.
- W2022061504 hasConcept C62799726 @default.
- W2022061504 hasConcept C90673727 @default.
- W2022061504 hasConceptScore W2022061504C118615104 @default.
- W2022061504 hasConceptScore W2022061504C123222754 @default.
- W2022061504 hasConceptScore W2022061504C13336665 @default.
- W2022061504 hasConceptScore W2022061504C136119220 @default.
- W2022061504 hasConceptScore W2022061504C138885662 @default.
- W2022061504 hasConceptScore W2022061504C142685569 @default.
- W2022061504 hasConceptScore W2022061504C155058155 @default.
- W2022061504 hasConceptScore W2022061504C202444582 @default.
- W2022061504 hasConceptScore W2022061504C207264727 @default.
- W2022061504 hasConceptScore W2022061504C2524010 @default.
- W2022061504 hasConceptScore W2022061504C2776379255 @default.
- W2022061504 hasConceptScore W2022061504C2778572836 @default.
- W2022061504 hasConceptScore W2022061504C2780813799 @default.
- W2022061504 hasConceptScore W2022061504C33923547 @default.
- W2022061504 hasConceptScore W2022061504C41895202 @default.
- W2022061504 hasConceptScore W2022061504C51568863 @default.
- W2022061504 hasConceptScore W2022061504C518143113 @default.
- W2022061504 hasConceptScore W2022061504C62799726 @default.
- W2022061504 hasConceptScore W2022061504C90673727 @default.
- W2022061504 hasIssue "1" @default.
- W2022061504 hasLocation W20220615041 @default.
- W2022061504 hasOpenAccess W2022061504 @default.
- W2022061504 hasPrimaryLocation W20220615041 @default.
- W2022061504 hasRelatedWork W1606423697 @default.
- W2022061504 hasRelatedWork W2046049376 @default.
- W2022061504 hasRelatedWork W2136169847 @default.
- W2022061504 hasRelatedWork W2167154330 @default.
- W2022061504 hasRelatedWork W2354812543 @default.
- W2022061504 hasRelatedWork W2369979355 @default.
- W2022061504 hasRelatedWork W2963005948 @default.
- W2022061504 hasRelatedWork W2963225882 @default.
- W2022061504 hasRelatedWork W2963811212 @default.
- W2022061504 hasRelatedWork W4287960386 @default.
- W2022061504 hasVolume "438" @default.
- W2022061504 isParatext "false" @default.
- W2022061504 isRetracted "false" @default.
- W2022061504 magId "2022061504" @default.
- W2022061504 workType "article" @default.