Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators

Kallol Paul, Debmalya Sain and Puja Ghosh
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Kallol Paul: Jadavpur University, Department of Mathematics
Debmalya Sain: Indian Institute of Science, Department of Mathematics
Puja Ghosh: Sabang Sajanikanta Mahavidyalaya, Department of Mathematics

Chapter Chapter 15 in Ulam Type Stability, 2019, pp 331-344 from Springer

Abstract: Abstract We survey the recent developments in the study of symmetry of Birkhoff-James orthogonality of bounded linear operators between Banach spaces and Hilbert spaces. We also present some new results, along with the corresponding proofs, that have not been published before. In the last section we suggest some future directions for research, in particular connected to the notion of Ulam stability.

Keywords: Birkhoff-James orthogonality; Symmetry of orthogonality; Bounded linear operators; Ulam stability; Primary 47L05; Secondary 46B20, 39B82 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28972-0_15

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DOI: 10.1007/978-3-030-28972-0_15

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