Stability of surjectivity

DOI10.1006/JATH.2000.3452zbMath0967.46016OpenAlexW2135030989WikidataQ112226169 ScholiaQ112226169MaRDI QIDQ1577542

Jacek Tabor

Publication date: 3 September 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3452

zbMATH Keywords

\(\varepsilon\)-isometry

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (14)

More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ Stability of \(\varepsilon\)-isometries on \(\mathcal{L}_\infty\)-spaces ⋮ Stability of a pair of Banach spaces for \(\varepsilon\)-isometries ⋮ Stability of a pair of Banach spaces for coarse Lipschitz embeddings ⋮ On universally left-stability of \(\varepsilon\)-isometry ⋮ A universal inequality for stability of coarse Lipschitz embeddings ⋮ Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces ⋮ On weak stability of \(\varepsilon\)-isometries on wedges and its applications ⋮ On perturbed metric-preserved mappings and their stability characterizations ⋮ Critical delay for overshooting in planned arm movements with delayed feedback ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ On approximate isometries and application to stability of a functional equation ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces ⋮ Nonsurjective nearisometries of Banach spaces.

Cites Work

• Unnamed Item
• Hyers-Ulam stability of functional equations in several variables
• On nonlinear perturbations of isometries
• Approximate Isometries on Finite Dimensional Banach Spaces
• Approximate Isometries on Euclidean Spaces
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms

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