On extension of isometries and approximate isometries between unit spheres

On approximate isometries

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

Isometries of the unit sphere

Daryl Tingley · Geometriae Dedicata · 1987 · 152 citations

Natural Sciences, Mathematics, Geometry +8

On non linear perturbations of isometries

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

Natural Sciences, Mathematics, Dynamical Systems +9

Properties of Isometric Mappings

Themistocles M. Rassias · Journal of Mathematical Analysis and Applications · 1999 · 75 citations · Full text

Natural Sciences, Architectural Representation, Topology +5

The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space

Guanggui Ding · Science in China Series A Mathematics · 2002 · 63 citations

Natural Sciences, Mathematics, Topology +6