Concepedia

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

Science in China Series A Mathematics · 2002 · 63 citations · 5 references

Concepts

Natural SciencesMathematicsTopologyConvex GeometryHilbert Space FormalismMetric GeometryMetric SpacesLipschitz ContinuityLipschitz Extensions

References

5

Isometries of the unit sphere

Daryl Tingley · Geometriae Dedicata · 1987 · 152 citations

Natural Sciences, Mathematics, Geometry +8

Isometries in Normed Spaces

John A. Baker · American Mathematical Monthly · 1971 · 101 citations

Natural Sciences, Mathematics, Topology +5

On the Mazur-Ulam theorem and the Aleksandrov problem for unit distance preserving mappings

Themistocles M. Rassias, Peter Šemrl · Proceedings of the American Mathematical Society · 1993 · 78 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +8

Compactly Supported Distributional Solutions of Nonstationary Nonhomogeneous Refinement Equations

Qi Sun · Acta Mathematica Sinica English Series · 2001 · 21 citations

Natural Sciences, Mathematics, Differential Equations +4

ISOMETRIES OF THE UNITE SPHERE

Yumei Ma · Acta Mathematica Scientia · 1992 · 16 citations

Natural Sciences, Mathematics, Geometry +7