1. Cui, Jianlian; Hou, Jinchuan: Linear maps on von Neumann algebras preserving zero products of tr-rank. (English). - [J] Bull. Aust. Math. Soc. 65, No.1, 79-91(2002). [ISSN 0004-9727]Matej Brešar, 2005, review, book review, critique Keywords: matematika, teorija operatorjev, linearni ohranjevalci, von Neumannove algebre, ničelni produkt, mathematics, operator theory, Banach algebras, linear preservers, von Neumann algebra, zero product, tr-rank
Published in DKUM: 16.07.2015; Views: 1380; Downloads: 20
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2. Hou, Jinchuan; Cui, Jianlian: Rank-1 preserving linear maps on nest algebras. (English). - [J] Linear Algebra Appl. 369, 263-277 (2003). [ISSN 0024-3795]Matej Brešar, 2005, review, book review, critique Keywords: matematika, teorija operatorjev, gnezdna algebra, lokalni avtomorfizmi, linearni ohranjevalci, mathematics, operator theory, rank-1 preserving maps, nest algebra, linear preservers, local automorphisms
Published in DKUM: 10.07.2015; Views: 2061; Downloads: 26
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3. Hou, Jinchuan; Hou, Shengzhao: Linear maps on operator algebras that preserve elements annihilated by a polynomial. (English). - [J] Proc. Am. Math. Soc. 130, No.8, 2383-2395 (2002). [ISSN 0002-9939; ISSN 1088-6826]Matej Brešar, 2004, review, book review, critique Keywords: matematika, teorija operatorjev, operatorske algebre, linearni ohranjevalci, homomorfizmi, mathematics, operator theory, operator algebras, linear preservers, homomorphisms
Published in DKUM: 10.07.2015; Views: 1210; Downloads: 25
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4. Commuting maps: a surveyMatej Brešar, 2004, review article Abstract: A map ▫$f$▫ on a ring ▫$mathcal{A}$▫ is said to be commuting if ▫$f(x)$▫ commutes with ▫$x$▫ for every ▫$x in mathcal{A}$▫. The paper surveys the development of the theory of commuting maps and their applications. The following topics are discussed: commuting derivations, commuting additive maps, commuting traces of multiadditive maps, various generalizations of the notion of a commuting map, and applications of results on commuting maps to different areas, in particular to Lie theory.
Keywords: matematika, algebra, prakolobar, komutirajoča preslikava, funkcijska identiteta, Banachova algebra, odvajanje, Liejeve algebre, linearni ohranjevalci, mathematics, algebra, commuting map, functional identity, prime ring, Banach algebra, derivation, Lie theory, linear preservers
Published in DKUM: 10.07.2015; Views: 1541; Downloads: 28
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