| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4663843 | Acta Mathematica Scientia | 2014 | 11 Pages |
Abstract
In this paper, we study the extension of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(Δ)(p > 1). We first derive the representation of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(Δ). Then we arrive at a conclusion that any surjective isometry between the unit spheres of complex Banach spaces lp(Γ)and lp(Δ) can be extended to be a linear isometry on the whole space.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
