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＜電子ブック＞
Birkhoff–James Orthogonality and Geometry of Operator Spaces / by Arpita Mal, Kallol Paul, Debmalya Sain
(Infosys Science Foundation Series in Mathematical Sciences. ISSN:23644044)

版	1st ed. 2024.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2024
本文言語	英語
大きさ	XIII, 251 p. 13 illus., 4 illus. in color : online resource
著者標目	*Mal, Arpita author Paul, Kallol author Sain, Debmalya author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Geometry LCSH:Functional analysis FREE:Operator Theory FREE:Geometry FREE:Functional Analysis
一般注記	1 Notations and Terminologies -- 2 Basic theory of B-J orthogonality in Banach space -- 3 Operator norm attainment -- 4 B-J orthogonality of operators -- 5 Approximate B-J orthogonality -- 6 Smoothness and k−smoothness of operators -- 7 Symmetry of the B-J orthogonality -- 8 Extreme contractions 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 HTTP:URL=https://doi.org/10.1007/978-981-99-7111-4

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