A note on the stability of isometries on the positive cones of continuous function spaces

DOI10.1007/S13226-021-00083-YzbMath1489.46015OpenAlexW3167502660MaRDI QIDQ2241688

Long Fa Sun

Publication date: 9 November 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00083-y

zbMATH Keywords

stabilitylinear isometriesisometriescontinuous function space

Mathematics Subject Classification ID

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

Cites Work

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• On weak stability of \(\varepsilon\)-isometries on wedges and its applications
• Isometries and almost isometries between spaces of continuous functions
• Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces
• Stability of \(\varepsilon\)-isometric embeddings into Banach spaces of continuous functions
• Linearization of isometric embedding on Banach spaces
• Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions
• Lipschitz-free Banach spaces
• On Super Weakly Compact Convex Sets and Representation of the Dual of the Normed Semigroup They Generate
• Isometries in Normed Spaces

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