Some versions of Anderson′s and Maher′s inequalities II

Mecheri, Salah

doi:10.1155/s0161171203301450

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2020

2021

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“…A similar result for the orthogonality in unitarily invariant norms defined on the norm ideals of K(H) is given in [54, Theorem 1]. For related study on derivations, elementary operators and orthogonality in these normed spaces, see [27,50,56,62,63,64,65,66,92,93,94].…”

Section: Using This One Obtainsmentioning

confidence: 78%

Birkhoff-James orthogonality and applications : A survey

Grover¹,

Sushil²

2020

Preprint

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In the last few decades, the concept of Birkhoff-James orthogonality has been used in several applications. In this survey article, the results known on the necessary and sufficient conditions for Birkhoff-James orthogonality in certain Banach spaces are mentioned. Their applications in studying the geometry of normed spaces are given. The connections between this concept of orthogonality, and the Gateaux derivative and the subdifferential set of the norm function are provided. Several interesting distance formulas can be obtained using the characterizations of Birkhoff-James orthogonality, which are also mentioned. In the end, some new results are obtained.

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