Stability of almost surjective ε-isometries of Banach spaces

On approximate isometries

D. H. Hyers, Stanislaw M. Ulam · Bulletin of the American Mathematical Society · 1945 · 179 citations · Full text

On non linear perturbations of isometries

Matjaž Omladič, Peter Šemrl · Mathematische Annalen · 1995 · 115 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Nonsurjective nearisometries of Banach spaces

Peter Šemrl, Jussi Väısälä · Journal of Functional Analysis · 2003 · 58 citations

Natural Sciences, Orthodontics, Topology +5

On stability of nonlinear non-surjective ε-isometries of Banach spaces

Lixin Cheng, Yunbai Dong, Wen Zhang · Journal of Functional Analysis · 2012 · 57 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Approximate Isometries on Finite-Dimensional Normed Spaces

S. J. Dilworth · Bulletin of the London Mathematical Society · 1999 · 49 citations

Natural Sciences, Computational Engineering, Topology +8