NONEXPANSIVE BIJECTIONS TO THE UNIT BALL OF THE -SUM OF STRICTLY CONVEX BANACH SPACES
2018 ◽
Vol 97
(2)
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pp. 285-292
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Keyword(s):
Extending recent results by Cascales et al. [‘Plasticity of the unit ball of a strictly convex Banach space’, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat.110(2) (2016), 723–727], we demonstrate that for every Banach space $X$ and every collection $Z_{i},i\in I$, of strictly convex Banach spaces, every nonexpansive bijection from the unit ball of $X$ to the unit ball of the sum of $Z_{i}$ by $\ell _{1}$ is an isometry.
2017 ◽
Vol 24
(3)
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pp. 363-372
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2020 ◽
Vol 1664
(1)
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pp. 012038
2010 ◽
Vol 53
(3)
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pp. 398-403
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Keyword(s):
2015 ◽
Vol 110
(2)
◽
pp. 723-727
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Keyword(s):
2013 ◽
Vol 21
(1)
◽
pp. 261-276
2022 ◽
pp. 94-101