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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ECG769

,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.

GILD

https://doi.org/10.1007/978-981-99-7111-4Hilbert Space; Banach Space; Birkhoff-James Orthogonality; Smoothness of an Operator; k-smoothness of an

娘娘腔

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

ACTIN

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拋物線

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.