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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: 32
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A note on local automorphisms
Ajda Fošner, 2006, original scientific article

Abstract: Let ▫$H$▫ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ▫$mathscr{B}(H)$▫, the algebra of all bounded linear operators on a Hilbert space ▫$H$▫, is an automorphism.
Keywords: mathematics, operator theory, automorphism, local automorphism, algebra of operators on a Hilbert space
Published in DKUM: 07.06.2012; Views: 1533; Downloads: 104
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