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Titlebook: Birkhoff–James Orthogonality and Geometry of Operator Spaces; Arpita Mal,Kallol Paul,Debmalya Sain Book 2024 The Editor(s) (if applicable)

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发表于 2025-3-21 18:33:53 | 显示全部楼层 |阅读模式
期刊全称Birkhoff–James Orthogonality and Geometry of Operator Spaces
影响因子2023Arpita Mal,Kallol Paul,Debmalya Sain
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发行地址Analyzes the norm structure through algebraic approaches with geometric visualization.Focuses on topics in geometry of operator spaces through Birkhoff–James orthogonality.Covers a vast area of geomet
学科分类Infosys Science Foundation Series
图书封面Titlebook: Birkhoff–James Orthogonality and Geometry of Operator Spaces;  Arpita Mal,Kallol Paul,Debmalya Sain Book 2024 The Editor(s) (if applicable)
影响因子.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..
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发表于 2025-3-21 23:31:39 | 显示全部楼层
,Symmetry of the B-J Orthogonality, Indeed, one of the fundamental differences between the usual orthogonality in Hilbert spaces and B-J orthogonality in Banach spaces is that unlike the former one, the later one is, in general, asymmetric.
发表于 2025-3-22 03:44:10 | 显示全部楼层
https://doi.org/10.1007/978-981-99-7111-4Hilbert Space; Banach Space; Birkhoff-James Orthogonality; Smoothness of an Operator; k-smoothness of an
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978-981-99-7113-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Stetigkeit und Grenzwerte von Funktionen,fundamental role, without a shade of doubt. As we will see in this chapter, it is both useful and interesting to study an approximate version of orthogonality, in the more general setting of a Banach space . In an inner product space ., a natural way to define approximate orthogonality is as follows
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https://doi.org/10.1007/978-3-322-96812-8Linear operators lie at the very heart of functional analysis and operator theory. As mentioned in the Preface, this monograph aims at exploring the beautiful interrelation between analysis, algebra, and geometry in the space of bounded linear operators between Banach spaces.
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