FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2996666431> ?p ?o ?g. }

• W2996666431 abstract "For a conjugation $C$ on a separable, infinite dimensional, complex Hilbert space $mathcal H$, the set $mathcal{S}_C$ of $C$-symmetric operators on $mathcal H$ forms a weakly closed, selfadjoint, Jordan operator algebra, which has been studied under the name of Cartan factor of type II. We study $mathcal{S}_C$ in comparison with the algebra $mathcal{B(H)}$ of all bounded linear operators on $mathcal H$, and develop some algebraic properties of $mathcal{S}_C$ as well as some properties of individual elements. We determine the Jordan ideals of $mathcal{S}_C$ and their dual spaces. Jordan automorphisms of $mathcal{S}_C$ are classified. We describe $C^*$-algebras contained in $mathcal{S}_C$ and determine the $C^*$-algebra generated by $mathcal{S}_C$. It is proved that invertible operators in $mathcal{S}_C$ constitute a dense, path connected subset of $mathcal{S}_C$. We establish the Weyl-von Neumann-Berg Theorem in $mathcal{S}_C$, that is, every normal operator in $mathcal{S}_C$ is the sum of a diagonal and a small compact operator in $mathcal{S}_C$. As an application, it is proved that each operator in $mathcal{S}_C$ is a small compact perturbation of irreducible ones in $mathcal{S}_C$. We discuss a Brown-Douglas-Fillmore type theorem for $mathcal{S}_C$. We determine the spectra of Jordan multiplication operators on $mathcal{S}_C$." @default.
• W2996666431 created "2019-12-26" @default.
• W2996666431 creator A5019474711 @default.
• W2996666431 creator A5066826725 @default.
• W2996666431 date "2019-12-22" @default.
• W2996666431 modified "2023-09-27" @default.
• W2996666431 title "The Jordan algebra of complex symmetric operators" @default.
• W2996666431 cites W121256650 @default.
• W2996666431 cites W1490461202 @default.
• W2996666431 cites W1546322230 @default.
• W2996666431 cites W1562178577 @default.
• W2996666431 cites W1586975367 @default.
• W2996666431 cites W1598049090 @default.
• W2996666431 cites W1607437775 @default.
• W2996666431 cites W1608575558 @default.
• W2996666431 cites W1800342776 @default.
• W2996666431 cites W1989138889 @default.
• W2996666431 cites W1989230493 @default.
• W2996666431 cites W1991797251 @default.
• W2996666431 cites W1993644080 @default.
• W2996666431 cites W2001496059 @default.
• W2996666431 cites W2009707070 @default.
• W2996666431 cites W2013005391 @default.
• W2996666431 cites W2023631863 @default.
• W2996666431 cites W2033213853 @default.
• W2996666431 cites W2033623578 @default.
• W2996666431 cites W2043991589 @default.
• W2996666431 cites W2047323292 @default.
• W2996666431 cites W2053662828 @default.
• W2996666431 cites W2059597507 @default.
• W2996666431 cites W2061121490 @default.
• W2996666431 cites W2063190730 @default.
• W2996666431 cites W2067958283 @default.
• W2996666431 cites W2073801900 @default.
• W2996666431 cites W2074667287 @default.
• W2996666431 cites W2084609103 @default.
• W2996666431 cites W2145586686 @default.
• W2996666431 cites W2145952093 @default.
• W2996666431 cites W2313731147 @default.
• W2996666431 cites W2316941769 @default.
• W2996666431 cites W2325852255 @default.
• W2996666431 cites W2497789764 @default.
• W2996666431 cites W2593982284 @default.
• W2996666431 cites W2600399571 @default.
• W2996666431 cites W2737694191 @default.
• W2996666431 cites W2791522773 @default.
• W2996666431 cites W2890059076 @default.
• W2996666431 cites W2952772719 @default.
• W2996666431 cites W3040096869 @default.
• W2996666431 cites W3103921082 @default.
• W2996666431 cites W351339564 @default.
• W2996666431 cites W610829328 @default.
• W2996666431 cites W635836868 @default.
• W2996666431 hasPublicationYear "2019" @default.
• W2996666431 type Work @default.
• W2996666431 sameAs 2996666431 @default.
• W2996666431 citedByCount "0" @default.
• W2996666431 crossrefType "posted-content" @default.
• W2996666431 hasAuthorship W2996666431A5019474711 @default.
• W2996666431 hasAuthorship W2996666431A5066826725 @default.
• W2996666431 hasConcept C104317684 @default.
• W2996666431 hasConcept C114614502 @default.
• W2996666431 hasConcept C118712358 @default.
• W2996666431 hasConcept C134306372 @default.
• W2996666431 hasConcept C153408630 @default.
• W2996666431 hasConcept C158448853 @default.
• W2996666431 hasConcept C17020691 @default.
• W2996666431 hasConcept C185592680 @default.
• W2996666431 hasConcept C18903297 @default.
• W2996666431 hasConcept C202444582 @default.
• W2996666431 hasConcept C2777299769 @default.
• W2996666431 hasConcept C33923547 @default.
• W2996666431 hasConcept C55493867 @default.
• W2996666431 hasConcept C62799726 @default.
• W2996666431 hasConcept C70710897 @default.
• W2996666431 hasConcept C80469333 @default.
• W2996666431 hasConcept C86339819 @default.
• W2996666431 hasConcept C86803240 @default.
• W2996666431 hasConcept C9376300 @default.
• W2996666431 hasConcept C96442724 @default.
• W2996666431 hasConceptScore W2996666431C104317684 @default.
• W2996666431 hasConceptScore W2996666431C114614502 @default.
• W2996666431 hasConceptScore W2996666431C118712358 @default.
• W2996666431 hasConceptScore W2996666431C134306372 @default.
• W2996666431 hasConceptScore W2996666431C153408630 @default.
• W2996666431 hasConceptScore W2996666431C158448853 @default.
• W2996666431 hasConceptScore W2996666431C17020691 @default.
• W2996666431 hasConceptScore W2996666431C185592680 @default.
• W2996666431 hasConceptScore W2996666431C18903297 @default.
• W2996666431 hasConceptScore W2996666431C202444582 @default.
• W2996666431 hasConceptScore W2996666431C2777299769 @default.
• W2996666431 hasConceptScore W2996666431C33923547 @default.
• W2996666431 hasConceptScore W2996666431C55493867 @default.
• W2996666431 hasConceptScore W2996666431C62799726 @default.
• W2996666431 hasConceptScore W2996666431C70710897 @default.
• W2996666431 hasConceptScore W2996666431C80469333 @default.
• W2996666431 hasConceptScore W2996666431C86339819 @default.
• W2996666431 hasConceptScore W2996666431C86803240 @default.
• W2996666431 hasConceptScore W2996666431C9376300 @default.
• W2996666431 hasConceptScore W2996666431C96442724 @default.

• next