APPROXIMATELY ANGLE PRESERVING MAPPINGS

DOI10.1017/S0004972718001430WikidataQ128367165 ScholiaQ128367165MaRDI QIDQ5380460

Ali Zamani, Paweł Wójcik, Mohammad Sal Moslehian

Publication date: 4 June 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03801

zbMATH Keywords

isometryapproximate similarityorthogonality preserving mappingapproximately angle preserving mapping

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Stability, separation, extension, and related topics for functional equations (39B82) Linear spaces of operators (47L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

On Exact and Approximate Orthogonalities Based on Norm Derivatives

Cites Work

• On mappings approximately transferring relations in finite-dimensional normed spaces
• On certain basis connected with operator and its applications
• AOP mappings and the distance to the scalar multiples of isometries
• On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions
• Angle preserving mappings
• Maps which almost preserve angles
• Linear mappings approximately preserving orthogonality
• Orthogonality of compact operators
• Linear maps preserving orthogonality
• On mappings approximately preserving orthogonality
• Operators preserving orthogonality are isometries
• Stability of angle-preserving mappings on the plane

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