More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
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Publication:2360962
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
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 \(c_0\)
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