Characterizations of smooth spaces by $\rho_*$-orthogonality
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Publication:4643350
zbMath1395.46012arXiv1705.07032MaRDI QIDQ4643350
Mahdi Dehghani, Ali Zamani, Mohammad Sal Moslehian
Publication date: 24 May 2018
Full work available at URL: https://arxiv.org/abs/1705.07032
orthogonality preserving mappingsorthogonality spacenorm derivativesmooth normed spaces\(\rho_*\)-orthogonality
Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Geometry and structure of normed linear spaces (46B20) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (9)
Linear mappings approximately preserving \(\rho_\ast\)-orthogonality ⋮ 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 ⋮ Singer-type orthogonalities ⋮ Norm derivatives and geometry of bilinear operators ⋮ \(p\)-angular distance orthogonality ⋮ A generalized orthogonality relation via norm derivatives in real normed linear spaces ⋮ Approximate \(\rho_\lambda^v\)-orthogonality and its preservation
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