Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590080 | Journal of Functional Analysis | 2015 | 6 Pages |
Abstract
We show that for every pair of Banach spaces X and Y and for every ε -isometry f:X→Yf:X→Y with supy∈SYliminf|t|→∞dist(ty,f(X))/|t|<1/2 there exists an affine surjective isometry V:Y→XV:Y→X such that ‖f(x)−Vx‖≤2ε‖f(x)−Vx‖≤2ε for all x∈Xx∈X.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Igor A. Vestfrid,