Stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
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Publication:2517328
DOI10.1016/j.jfa.2015.04.009zbMath1331.46010OpenAlexW2083595467MaRDI QIDQ2517328
Publication date: 17 August 2015
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2015.04.009
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Functional equations for functions with more general domains and/or ranges (39B52) Isometric theory of Banach spaces (46B04)
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More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ Stability of \(\varepsilon\)-isometric embeddings into Banach spaces of continuous functions ⋮ A set-valued extension of the Mazur–Ulam theorem ⋮ Coarse isometries between finite dimensional Banach spaces ⋮ On non-surjective \(\varepsilon\)-isometric embeddings between Hausdorff metric spaces of compact convex subsets ⋮ Non-surjective coarse isometries between \(L_p\) spaces ⋮ On linear isometries and \(\varepsilon\)-isometries between Banach spaces ⋮ Non-surjective coarse embeddings of continuous functions spaces ⋮ On phase-isometries between the positive cones of continuous function spaces ⋮ On the Figiel type problem and extension of \(\varepsilon\)-isometry between unit spheres ⋮ Isometric Approximation in Bounded Sets and Its Applications ⋮ A note on the stability of nonsurjective 𝜖-isometries of Banach spaces ⋮ Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Hyers-Ulam stability of isometries on bounded domains. II. ⋮ Hyers-Ulam stability of bijective \(\varepsilon\)-isometries between Hausdorff metric spaces of compact convex subsets ⋮ Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces ⋮ On the symmetrizations of \(\varepsilon \)-isometries on positive cones of continuous function spaces ⋮ Stability of symmetric \(\varepsilon \)-isometries on wedges ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ On non-surjective coarse isometries between Banach spaces ⋮ Linearization of isometric embedding on Banach spaces ⋮ On the symmetrizations of \(\epsilon \)-isometries on Banach spaces ⋮ ON ISOMETRIC REPRESENTATION SUBSETS OF BANACH SPACES ⋮ Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces ⋮ A note on stability of non-surjective \(\varepsilon \)-isometries between the positive cones of \(L^p\)-spaces ⋮ On \(\mathcal{U}\)-weak stability of coarse isometries between \(L^p\) spaces
Cites Work
- Nonsurjective nearisometries of Banach spaces.
- On nonlinear perturbations of isometries
- On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
- On perturbed metric-preserved mappings and their stability characterizations
- Isometries of normed spaces
- Approximate Isometries on Finite-Dimensional Normed Spaces
- Almost surjective ε-isometries of Banach spaces
- ɛ-Isometric Embeddings
- Stability of Isometries on Banach Spaces
- On approximate isometries
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