Approximate isometries of the space of continuous functions
From MaRDI portal
Publication:2647496
DOI10.2307/1969171zbMath0029.36701OpenAlexW2332805371WikidataQ106126572 ScholiaQ106126572MaRDI QIDQ2647496
Publication date: 1947
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1969171
Related Items (36)
More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ On the stability of Jensen's functional equation on groups ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Mathematical problems and games ⋮ Stability of Isometries ⋮ A set-valued extension of the Mazur–Ulam theorem ⋮ On nonlinear perturbations of isometries ⋮ Stability of a pair of Banach spaces for coarse Lipschitz embeddings ⋮ Hyers-Ulam stability of isometries on bounded domains ⋮ A universal inequality for stability of coarse Lipschitz embeddings ⋮ Stability of additivity and fixed point methods ⋮ On linear isometries and \(\varepsilon\)-isometries between Banach spaces ⋮ Hyers-Ulam stability of the delay equation \(y'(t)=\lambda y(t-\tau )\) ⋮ A note on the stability of nonsurjective 𝜖-isometries of Banach spaces ⋮ Hyers-Ulam stability of isometries on bounded domains. II. ⋮ Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces ⋮ On weak stability of \(\varepsilon\)-isometries on wedges and its applications ⋮ Stability of symmetric \(\varepsilon \)-isometries on wedges ⋮ Pseudocharacters on free semigroups invariant with respect to their automorphism groups ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ On approximate solutions of the linear functional equation of higher order ⋮ A fixed point approach to the stability of isometries ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ Classes of transformations and bordering transformations ⋮ Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces ⋮ Unnamed Item ⋮ On Ulam's type stability of the linear equation and related issues ⋮ Approximate Isometries on Finite Dimensional Banach Spaces ⋮ Properties of isometric mappings ⋮ Cauchy's functional equation in the mean ⋮ Asymptotic properties of isometries. ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces ⋮ On almost distributive Łukasiewicz triplets ⋮ Pseudocharacters and the problem of expressibility for some groups ⋮ Approximately Convex Functions ⋮ The space of (𝜓,𝛾)–additive mappings on semigroups
This page was built for publication: Approximate isometries of the space of continuous functions
