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

By Ding Guanggui. 2002

77 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/646c089c772881af707ad495a63e3c674fb9dfe4

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In Applied Mathematics

1. Guanggui Ding
2. Antonio M. Peralta

In Mathematical Physics

1. Guanggui Ding
2. Antonio M. Peralta

Citations in the corpus

• The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l1(Γ) Type Spaces and The Application to the Isometric Extension Problem (2004, background): “Remark For p = 2, [ 4 ] has proved that the above Theorem 2 is valid for the space l 2 (Γ).”