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- W2950778225 abstract "We prove that if $X$ is a real rearrangement-invariant function space on $[0,1]$, which is not isometrically isomorphic to $L_2,$ then every surjective isometry $T:Xto X$ is of the form $Tf(s)=a(s)f(sigma(s))$ for a Borel function $a$ and an invertible Borel map $sigma:[0,1] to [0,1].$ If $X$ is not equal to $L_p$, up to renorming, for some $1le ple infty$ then in addition $|a|=1$ a.e. and $sigma$ must be measure-preserving." @default.
- W2950778225 created "2019-06-27" @default.
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- W2950778225 date "1992-11-05" @default.
- W2950778225 modified "2023-09-27" @default.
- W2950778225 title "Surjective isometries on rearrangement-invariant spaces" @default.
- W2950778225 hasPublicationYear "1992" @default.
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