Approximate \(\rho_\lambda^v\)-orthogonality and its preservation
DOI10.1215/20088752-2019-0004zbMath1439.46009OpenAlexW2981392097MaRDI QIDQ2332597
Ruhollah Jahanipur, Mohammed Abed, Mahdi Dehghani
Publication date: 4 November 2019
Published in: Annals of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.afa/1571817615
Birkhoff-James orthogonalityapproximate orthogonalitynorm derivativessmooth normed linear spaces\(\rho_\lambda^v\)-orthogonalityapproximate orthogonality-preserving property
Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Geometry and structure of normed linear spaces (46B20) Special classes of linear operators (47B99)
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Cites Work
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- Mappings approximately preserving orthogonality in normed spaces
- On a \(\rho\)-orthogonality
- Linear mappings preserving \(\rho \)-orthogonality
- Orthogonality of bounded linear operators on complex Banach spaces
- Linear mappings approximately preserving orthogonality
- Disjointness-preserving orthogonally additive operators in vector lattices
- Characterizations of inner product spaces
- A generalized orthogonality relation via norm derivatives in real normed linear spaces
- Linear mappings approximately preserving orthogonality in real normed spaces
- Linear mappings approximately preserving \(\rho_\ast\)-orthogonality
- Linear maps preserving orthogonality
- ρ-Orthogonality and its preservation –- revisited
- On maps that preserve orthogonality in normed spaces
- Operators preserving orthogonality are isometries
- Characterizations of smooth spaces by $\rho_*$-orthogonality
- An extension of orthogonality relations based on norm derivatives
- Orthogonality and Linear Functionals in Normed Linear Spaces
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