Two Dimensional ɛ-Isometries

DOI10.2307/1997890zbMath0412.46011OpenAlexW2321504665MaRDI QIDQ4200698

D. G. Bourgin

Publication date: 1978

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997890

zbMATH Keywords

linear isometrysurjective mappingepsilon-isometry problem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (11)

More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ On nonlinear perturbations of isometries ⋮ Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ On weak stability of \(\varepsilon\)-isometries on wedges and its applications ⋮ Stability of symmetric \(\varepsilon \)-isometries on wedges ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces ⋮ Properties of isometric mappings ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces

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