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Birkhoff-James orthogonality: characterizations, preservers, and orthogonality graphsArambašić, Ljiljana ...We present Birkhoff-James orthogonality from historical perspectives to the current development. We compare it with some other orthogonalities, present its properties and its applications, and review ... the characterizations of Birkhoff-James orthogonality in classical Banach spaces like ▫${\mathbb B}({\cal H})$▫, ▫$C^\ast$▫-algebras, Hilbert ▫$C^\ast$▫-modules, or the space of rectangular matrices normed with Schatten norms. We also present the results on characterizations of preservers of Birkhoff-James orthogonality and, by devising a directed graph of the relation, show that in smooth spaces it can completely determine the norm up to (conjugate) linear isometry. Most, though not all, of the results that we state are supplied with (sketches of) the proof.Source: Operator and norm inequalities and related topics (Str. 255-302)Type of material - article, component part ; adult, seriousPublish date - 2022Language - englishCOBISS.SI-ID - 151111683
Author
Arambašić, Ljiljana |
Guterman, Aleksandr Èmilevič, 1975- |
Kuzma, Bojan, 1968- |
Zhilina, Svetlana
Topics
normirani vektorski prostori |
Birkhoff-Jamesova ortogonalnost |
C*-algebre |
Hilbertovi C*-moduli |
ohranjevalci |
grafi |
normed vector spaces |
Birkhoff-James orthogonality |
▫$C^\ast$▫-algebras |
Hilbert ▫$C^\ast$▫-modules |
preservers |
graphs |
clique
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Database name | Field | Year |
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Arambašić, Ljiljana | |
Guterman, Aleksandr Èmilevič, 1975- | |
Kuzma, Bojan, 1968- | 18893 |
Zhilina, Svetlana |
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