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- W2949568749 abstract "It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $ell_1$, then every non-expansive bijection $F: B_M to B_M$ is an isometry. We extend these results to non-expansive bijections $F: B_E to B_M$ between unit balls of two different Banach spaces. Namely, if $E$ is an arbitrary Banach space and $M$ is finite-dimensional or strictly convex, or the space $ell_1$ then every non-expansive bijection $F: B_E to B_M$ is an isometry." @default.
- W2949568749 created "2019-06-27" @default.
- W2949568749 creator A5017189972 @default.
- W2949568749 date "2017-04-23" @default.
- W2949568749 modified "2023-09-27" @default.
- W2949568749 title "Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)" @default.
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