Abstract
In this paper, we obtain that every isometry from the unit sphere S(lp(Γ)) of lp(Γ) (1 < p < ∞, p ≠ 2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of lp(Γ) onto E, so, we give an affirmative answer to the corresponding Tingley’s problem.
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