On universally left-stability of \(\varepsilon\)-isometry

DOI10.1007/s10114-013-2585-2zbMath1286.46011arXiv1301.3656OpenAlexW2465386298MaRDI QIDQ381080

Qing Jin Cheng, Duan Xu Dai, Ling Xin Bao, Li Xing Cheng

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3656

zbMATH Keywords

stabilityBanach spacelinear isometry\(\varepsilon\)-isometryinjective space

Mathematics Subject Classification ID

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

Related Items

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 ⋮ 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 ⋮ Linearization of isometric embedding on Banach spaces ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces

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