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Birkhoff-James Orthogonality and Geometry of Operator Spaces

237,14 
237,14 
2025-07-31 237.1400 InStock
Nemokamas pristatymas į paštomatus per 18-22 darbo dienų užsakymams nuo 19,00 

Knygos aprašymas

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.

Informacija

Autorius: Arpita Mal, Debmalya Sain, Kallol Paul,
Leidėjas: Springer Nature Singapore
Išleidimo metai: 2024
Knygos puslapių skaičius: 268
ISBN-10: 9819971101
ISBN-13: 9789819971107
Formatas: Knyga kietu viršeliu
Kalba: Anglų
Žanras: Functional analysis and transforms

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