The isometric extension problem in the unit spheres of lp(Г) (p >1) type spaces

By Guanggui Ding. Science China Mathematics, 2003

54 citations recorded by the source corpus.

In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of lp(Г) (@#@(p >) 1,p ≠ 2 type spaces, and then we conclude that such mappings can be extended to the whole space as real linear isometries by using the previous result of the author.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6cbc61d24272237b33c466b53260ee191ad52fd5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Guanggui Ding
2. Antonio M. Peralta

In Mathematical Physics

1. Guanggui Ding
2. Antonio M. Peralta

Citations in the corpus

• On isometric extension problem between two unit spheres (2009, background): “In [1], Tingley gave a result: if both E and F are finite-dimensional normed spaces, then for any x ∈ S(E), V0(−x )= −V0(x). In [ 2 ], we generalized the result and got”