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

公共汽车

Der Taylorsche Satz und Potenzreihen,The concept of smoothness is one of the fundamental aspects of the theory of Banach spaces, both from geometric and analytic points of view. Indeed, a cursory look at the contents of any classical or modern textbook on the subject matter would suffice to argue in favor of our claim.

FIN

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Notations and Terminologies,The notations and terminologies to be used throughout this monograph are mentioned in this chapter.

小卒

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Operator Norm Attainment,Linear 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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Extreme Contractions,Extremal structure of the unit ball of an operator space is certainly an important topic in the geometry of bounded linear operators.

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Birkhoff–James Orthogonality and Geometry of Operator Spaces978-981-99-7111-4Series ISSN 2363-6149 Series E-ISSN 2363-6157

伪善

https://doi.org/10.1007/978-3-663-12214-2. Therefore, understanding B–J orthogonality of operators is of paramount importance to us. In this chapter, we gradually build the theory of characterizing B–J orthogonality of operators between Banach (Hilbert) spaces, up to its fullest generality.

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Der Taylorsche Satz und Potenzreihen, 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.