An extension of orthogonality relations based on norm derivatives

DOI10.1093/QMATH/HAY048zbMath1436.46018arXiv1711.03802OpenAlexW2954873385MaRDI QIDQ5225856

Ali Zamani, Mohammad Sal Moslehian

Publication date: 29 July 2019

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03802

zbMATH Keywords

orthogonalityGâteaux differentialBirkhoff-James orthogonalityorthogonality preserving mapping

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ An orthogonality relation in complex normed spaces based on norm derivatives ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Norm derivatives and geometry of bilinear operators ⋮ Approximate \(\rho_\lambda^v\)-orthogonality and its preservation

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