Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces

DOI10.1016/J.JMAA.2020.124014zbMath1451.46013OpenAlexW3009991157MaRDI QIDQ2308367

Long Fa Sun

Publication date: 3 April 2020

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.2020.124014

zbMATH Keywords

stabilitylinear isometries\( L^p\)-space\(\epsilon\)-isometries

Mathematics Subject Classification ID

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

Related Items (10)

On the improvement of Fickett's theorem on bounded sets ⋮ On phase-isometries between the positive cones of continuous function spaces ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ \(\varepsilon\)-isometries between the positive cones of continuous functions spaces ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ On non-linear \(\varepsilon\)-isometries between the positive cones of certain continuous function spaces ⋮ Stability of isometries between the positive cones of ordered Banach spaces ⋮ A note on stability of non-surjective \(\varepsilon \)-isometries between the positive cones of \(L^p\)-spaces ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\)

Cites Work

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• On linear isometries and \(\varepsilon\)-isometries between Banach spaces
• Nonsurjective nearisometries of Banach spaces.
• 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 \(\varepsilon\)-isometric embeddings into Banach spaces of continuous functions
• Approximate isometries of the space of continuous functions
• Approximately isometric and multiplicative transformations on continuous function rings
• Linearization of isometric embedding on Banach spaces
• ON ISOMETRIC REPRESENTATION SUBSETS OF BANACH SPACES
• Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions
• Approximate Isometries on Finite Dimensional Banach Spaces
• Stability of Isometries
• Two Dimensional ɛ-Isometries
• Approximate Isometries on Finite-Dimensional Normed Spaces
• Lipschitz-free Banach spaces
• Stability of Isometries on Banach Spaces
• Isometries in Normed Spaces
• On approximate isometries
• Approximate isometries

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