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- W3024881427 abstract "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." @default.
- W3024881427 created "2020-05-21" @default.
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- W3024881427 date "2020-05-15" @default.
- W3024881427 modified "2023-09-23" @default.
- W3024881427 title "Birkhoff-James orthogonality and applications : A survey" @default.
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- W3024881427 doi "https://doi.org/10.48550/arxiv.2005.07399" @default.
- W3024881427 hasPublicationYear "2020" @default.
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