More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces

DOI10.1007/s11425-016-5155-0zbMath1378.46010OpenAlexW2484858362MaRDI QIDQ2360962

Qinrui Shen, Wen Zhang, Yu Zhou, Li Xing Cheng

Publication date: 29 June 2017

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-5155-0

zbMATH Keywords

stabilityBanach spacesharp estimate\(\varepsilon\)-isometry

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (11)

On linear isometries and \(\varepsilon\)-isometries between Banach spaces ⋮ On phase-isometries between the positive cones of continuous function spaces ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ On non-linear \(\varepsilon\)-isometries between the positive cones of certain continuous function spaces ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ On the symmetrizations of \(\epsilon \)-isometries on Banach spaces ⋮ Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces ⋮ A note on stability of non-surjective \(\varepsilon \)-isometries between the positive cones of \(L^p\)-spaces ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\)

Cites Work

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