Approximate Roberts orthogonality sets and \({(\delta, \epsilon)}\)-\((\mathrm {a, b})\)-isosceles-orthogonality preserving mappings

DOI10.1007/s00010-015-0383-xzbMath1345.39014OpenAlexW2235701817MaRDI QIDQ291299

Mohammad Sal Moslehian, Ali Zamani

Publication date: 7 June 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0383-x

zbMATH Keywords

orthogonality preserving mappingsapproximate parallelogram lawapproximate Roberts orthogonalityisosceles-orthogonality

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (5)

Orthogonality Types in Normed Linear Spaces ⋮ Linear mappings approximately preserving \(\rho_\ast\)-orthogonality ⋮ A generalization of the Roberts orthogonality: from normed linear spaces to \(C^*\)-algebras ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives

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