On the symmetrizations of \(\epsilon \)-isometries on Banach spaces

DOI10.1007/S10688-019-0252-9zbMath1455.46014OpenAlexW2947160973MaRDI QIDQ2278739

Li Xing Cheng, Long Fa Sun

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-019-0252-9

zbMATH Keywords

stabilityweak stabilityBanach space.symmetrization of \(\varepsilon\)-isometry

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Isometric theory of Banach spaces (46B04)

Related Items (3)

Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ On the symmetrizations of \(\varepsilon \)-isometries on positive cones of continuous function spaces ⋮ Stability of symmetric \(\varepsilon \)-isometries on wedges

Cites Work

• On nonlinear perturbations of isometries
• On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
• A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces
• More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
• Stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
• Stability of Isometries on Banach Spaces

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