Two new examples of Banach spaces with a plastic unit ball
Keywords:
Non-expansive map, unit ball, plastic metric space
Abstract
We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞Y , with strictly convex X and Y , have plastic unit balls (we call a metric space plastic if every non-expansive bijection from this space onto itself is an isometry).
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