Stability of isometries between groups of invertible elements in Banach algebras

DOI10.1007/s10688-015-0092-1zbMath1332.46046OpenAlexW829820452MaRDI QIDQ498563

Rui Shi, Yun Bai Dong

Publication date: 29 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0092-1

zbMATH Keywords

Banach algebra\(\epsilon\)-isometryHyers-Ulam problem

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of topological algebras (46H05) Isometric theory of Banach spaces (46B04)

Cites Work

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• Algebraic properties of isometries between groups of invertible elements in Banach algebras
• Hyers-Ulam stability for isometries on Banach spaces
• Nonsurjective nearisometries of Banach spaces.
• On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
• Isometries between groups of invertible elements in Banach algebras
• On approximate isometries

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