On Exact and Approximate Orthogonalities Based on Norm Derivatives

Ali Zamani and Mahdi Dehghani ()
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Ali Zamani: Farhangian University, Department of Mathematics
Mahdi Dehghani: Faculty of Mathematical Sciences, University of Kashan, Department of Pure Mathematics

Chapter Chapter 21 in Ulam Type Stability, 2019, pp 469-507 from Springer

Abstract: Abstract We survey mainly recent results on the orthogonality relations in normed linear spaces related to norm derivatives. We will focus on fundamental properties of norm derivatives orthogonality, differences and connections between these orthogonality types, and geometric results and problems closely related to them.

Keywords: Norm derivative; Orthogonality; Approximate orthogonality; Orthogonality preserving mappings; Approximate orthogonality preserving property; Stability; Primary 46B20; Secondary 46C50, 47B49 (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_21

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DOI: 10.1007/978-3-030-28972-0_21

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