Filtry
Additivity of Quadratic Maps on JB Algebras
The problem of automatic additivity of Jordan type homomorphisms has received a great deal of attention in theory of operator algebras as well in ring theory. We study additivity of quadratic maps, that is the maps between Jordan Ba...
Pure mathematics
- 2019 •
- JSC •
- Odkaz
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
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Structure of abelian parts of C*-algebras and its preservers
The context poset of Abelian C*-subalgebras of a given C*-algebra is an operator theoretic invariant of growing interest. We review recent results describing order isomorphisms between context posets in terms of Jordan type maps (linear or n...
Pure mathematics
- 2018 •
- Jost •
- Odkaz
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Jost - Ostatní články v recenzovaných periodicích
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Spectral Order for Jordan Triples
We initiate the study of the spectral order on Jordan triples. The order given on the tripotents is extended to the spectral order on the triples. We show that Jordan triples equipped with the spectral ord...
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Piecewise *-homomorphisms and Jordan maps on C*-algebras and factor von Neumann algebras
triple product (a, b) -> aba, and is linear on commutative subspaces, is already linear. This allows us to describe such maps as direct differences of linear Jordan)), where theta is a linear Jordan *-isomorphism, c nonzer...
Pure mathematics
- 2018 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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* triple containing a nonassociative 2-Peirce subspace. Moreover, we...
Pure mathematics
- 2024 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Dye's theorem for tripotents in von Neumann algebras and JBW*-triples
*-triples and von Neumann algebras. Especially, we establish a generalization reflection u -> -u (2) maps between triples that preserve tripotents and are real linear of Jordan *-homomorphisms on Peirce 2-subspaces. By exam...
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Boundedness of completely additive measures with application to 2-local triple derivations
We prove a Jordan version of Dorofeev's boundedness theorem for completely) 2-local triple derivation on a continuous JBW*-triple is a triple derivation. 2-local triple derivations are well understood on v...
BA - Obecná matematika
- 2016 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Determinacy of Functionals and Lyapunov Theorem for Jordan Triple Structures and von Neumann Algebras
In this note we apply noncommutative versions of Lyapunov convexity theorem to obtaning new results in comparison theory of states and functional on von Neumann algebras and JBW* triples. We show that in many cases the sets of projections or...
Pure mathematics
- 2020 •
- JSC •
- Odkaz
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Finite tripotents and finite JBW*-triples
We study two natural preorders on the set of tripotents in a JB*-triple defined*-triples which is a natural generalization of finiteness for projections in von Neumann*-triples. We also provide a refined version of this rep...
Pure mathematics
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Approximations and Endomorphism Algebras of modules
Approximations and Endomorphism Algebras of modules...
BA - Obecná matematika
- 2006 •
- B
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B - Odborná kniha
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