Birkhoff–James Orthogonality and Geometry of Operator Spaces

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Springer


Paru le : 2024-02-19

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Description

This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space operators and is yet to be understood completely for operators between Banach spaces. The book explores the interrelation between B-J orthogonality in the ground space and in the space of operators in its fullest generality. The book further explores the concept of approximate B-J orthogonality and investigated its geometry both in the ground space as well as in the space of operators. It highlights important geometric properties like smoothness and k-smoothness of bounded linear operators, extreme contractions and symmetricity of bounded linear operators defined between Hilbert spaces as well as Banach spaces.
Pages
251 pages
Collection
n.c
Parution
2024-02-19
Marque
Springer
EAN papier
9789819971107
EAN PDF
9789819971114

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
7946 Ko
Prix
137,14 €
EAN EPUB
9789819971114

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
33004 Ko
Prix
137,14 €

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