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Violation of Bell's Inequalities in Jordan Triples and Jordan Algebras
We formulate and prove Bell's inequalities in the realm of JB* triples and JB* algebras. We show that the maximal violation of Bell's inequalities occurs in any JBW that the violation of Bell's inequalities in a nonmodular JBW
Pure mathematics
- 2024 •
- Jimp •
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PREDUALS OF JBW*-TRIPLES ARE 1-PLICHKO SPACES
We investigate the preduals of JBW*-triples from the point of view of Banach space theory. We show that the algebraic structure of a JBW*-triple M naturally for previous results on L-1-spaces, preduals of von Neumann al...
Pure mathematics
- 2018 •
- Jimp •
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Star order on JBW algebras
The star order is extended from associative algebras to non-associative Jordan Banach structures. After showing basic properties of this order, we discuss continuous (not necessarily linear) bijections preserving star order in the context of...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Decompositions of preduals of JBW and JBW* algebras
We prove that the predual of any JBW*-algebra is a complex 1-Plichko space and the predual of any JBW-algebra is a real 1-Plichko space. I.e., any such space has of von Neumann algebras and their self-adjo...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Finite tripotents and finite JBW*-triples
algebras. We analyze the preorders in detail using the standard representation of JBW further introduce and investigate the notion of finiteness for tripotents in JBW a decomposition of any JBW*-triple into its fi...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples
We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW*-triples. This result is new even for preduals of von Neumann algebras. We further provide a characterization of JBW...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Traces and Subadditive Measures on Projections in JBW-algebras and von Neumann Algebras
BA - Obecná matematika
- 1995 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Boundedness of completely additive measures with application to 2-local triple derivations
) 2-local triple derivation on a continuous JBW*-triple is a triple derivation. 2-local triple derivations are well understood on von Neumann algebras. JBW*-triples dimensional holomorphy and include von Neumann algebra...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Preservation of Order and Orthogonality on Preduals of Jordan Algebras
We study linear maps between preduals of JBW-algebras that preserve orthogonal continuous orthogonally decomposable linear maps between preduals of JBW-algebras we show that the order topology on preduals of JB...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Structure of associative subalgebras of Jordan operator algebras
unital JB-subalgebras of JBW algebras is implemented naturally by a Jordan isomorphism. Consequently, JBW algebras are determined by the structure with an orthogonality relation. In case of abelian subalgebras of ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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