AOP mappings and the distance to the scalar multiples of isometries

DOI10.1016/j.jmaa.2015.05.031zbMath1330.47048OpenAlexW228710186MaRDI QIDQ491819

Liang Kong, Ye Zhang, Donald W. Hadwin, Yan-Ni Chen

Publication date: 19 August 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.05.031

zbMATH Keywords

minimum moduluslinear operatorsisometriesorthogonality preserving mappingsapproximate orthogonality

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

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Cites Work

• Unnamed Item
• On certain basis connected with operator and its applications
• Mappings approximately preserving orthogonality in normed spaces
• Linear mappings preserving \(\rho \)-orthogonality
• Linear mappings approximately preserving orthogonality
• Approximate Roberts orthogonality
• Stability of the orthogonality preserving property in finite-dimensional inner product spaces
• On mappings approximately preserving orthogonality
• Isosceles-orthogonality preserving property and its stability
• The Closure of the Regular Operators in a Ring of Operators