Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225313301> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4225313301 abstract "Contrary to the simple structure of the tensor product of the quaternionic Hilbert space, the octonionic situation becomes more involved. It turns out that an octonionic Hilbert space can be decomposed as an orthogonal direct sum of two subspaces, each of them isomorphic to a tensor product of an irreducible octonionic Hilbert space with a real Hilbert space. As an application, we find that for a given orthogonal basis the octonionic Parseval equality holds if and only if the basis is weak associative. Fortunately, there always exists a weak associative orthogonal basis in an octonionic Hilbert space. This completely removes the obstacles caused by the failure of the octonionic Parseval equality. As another application, we provide a new approach to studythe Cayley-Dickson algebras, which turn out to be specific examples of octonionic Hilbert spaces. An explicit weak associative orthonormal basis is constructed in each Cayley-Dickson algebra." @default.
- W4225313301 created "2022-05-05" @default.
- W4225313301 creator A5052820803 @default.
- W4225313301 creator A5059413993 @default.
- W4225313301 date "2022-04-01" @default.
- W4225313301 modified "2023-09-23" @default.
- W4225313301 title "Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley–Dickson algebras" @default.
- W4225313301 cites W1587655125 @default.
- W4225313301 cites W1973001937 @default.
- W4225313301 cites W1981305558 @default.
- W4225313301 cites W1986065923 @default.
- W4225313301 cites W1992370424 @default.
- W4225313301 cites W2004120702 @default.
- W4225313301 cites W2021170276 @default.
- W4225313301 cites W2095375362 @default.
- W4225313301 cites W2109932684 @default.
- W4225313301 cites W2114959639 @default.
- W4225313301 cites W2204912664 @default.
- W4225313301 cites W3088847401 @default.
- W4225313301 cites W3098549169 @default.
- W4225313301 cites W3103599540 @default.
- W4225313301 cites W3122941238 @default.
- W4225313301 cites W4239317573 @default.
- W4225313301 cites W4247595282 @default.
- W4225313301 doi "https://doi.org/10.1063/5.0085132" @default.
- W4225313301 hasPublicationYear "2022" @default.
- W4225313301 type Work @default.
- W4225313301 citedByCount "3" @default.
- W4225313301 countsByYear W42253133012022 @default.
- W4225313301 countsByYear W42253133012023 @default.
- W4225313301 crossrefType "journal-article" @default.
- W4225313301 hasAuthorship W4225313301A5052820803 @default.
- W4225313301 hasAuthorship W4225313301A5059413993 @default.
- W4225313301 hasBestOaLocation W42253133012 @default.
- W4225313301 hasConcept C121332964 @default.
- W4225313301 hasConcept C12362212 @default.
- W4225313301 hasConcept C124007464 @default.
- W4225313301 hasConcept C12426560 @default.
- W4225313301 hasConcept C136119220 @default.
- W4225313301 hasConcept C138885662 @default.
- W4225313301 hasConcept C159423971 @default.
- W4225313301 hasConcept C202444582 @default.
- W4225313301 hasConcept C2524010 @default.
- W4225313301 hasConcept C2778572836 @default.
- W4225313301 hasConcept C33923547 @default.
- W4225313301 hasConcept C41895202 @default.
- W4225313301 hasConcept C51255310 @default.
- W4225313301 hasConcept C5806529 @default.
- W4225313301 hasConcept C62520636 @default.
- W4225313301 hasConcept C62799726 @default.
- W4225313301 hasConcept C93776189 @default.
- W4225313301 hasConceptScore W4225313301C121332964 @default.
- W4225313301 hasConceptScore W4225313301C12362212 @default.
- W4225313301 hasConceptScore W4225313301C124007464 @default.
- W4225313301 hasConceptScore W4225313301C12426560 @default.
- W4225313301 hasConceptScore W4225313301C136119220 @default.
- W4225313301 hasConceptScore W4225313301C138885662 @default.
- W4225313301 hasConceptScore W4225313301C159423971 @default.
- W4225313301 hasConceptScore W4225313301C202444582 @default.
- W4225313301 hasConceptScore W4225313301C2524010 @default.
- W4225313301 hasConceptScore W4225313301C2778572836 @default.
- W4225313301 hasConceptScore W4225313301C33923547 @default.
- W4225313301 hasConceptScore W4225313301C41895202 @default.
- W4225313301 hasConceptScore W4225313301C51255310 @default.
- W4225313301 hasConceptScore W4225313301C5806529 @default.
- W4225313301 hasConceptScore W4225313301C62520636 @default.
- W4225313301 hasConceptScore W4225313301C62799726 @default.
- W4225313301 hasConceptScore W4225313301C93776189 @default.
- W4225313301 hasFunder F4320321001 @default.
- W4225313301 hasIssue "4" @default.
- W4225313301 hasLocation W42253133011 @default.
- W4225313301 hasLocation W42253133012 @default.
- W4225313301 hasLocation W42253133013 @default.
- W4225313301 hasOpenAccess W4225313301 @default.
- W4225313301 hasPrimaryLocation W42253133011 @default.
- W4225313301 hasRelatedWork W1493577770 @default.
- W4225313301 hasRelatedWork W1988458280 @default.
- W4225313301 hasRelatedWork W2053603290 @default.
- W4225313301 hasRelatedWork W2057217255 @default.
- W4225313301 hasRelatedWork W2067339076 @default.
- W4225313301 hasRelatedWork W2086221482 @default.
- W4225313301 hasRelatedWork W2370850565 @default.
- W4225313301 hasRelatedWork W2951694249 @default.
- W4225313301 hasRelatedWork W3121796938 @default.
- W4225313301 hasRelatedWork W163889044 @default.
- W4225313301 hasVolume "63" @default.
- W4225313301 isParatext "false" @default.
- W4225313301 isRetracted "false" @default.
- W4225313301 workType "article" @default.