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- W4300793891 abstract "We show that Rudin-Plotkin isometry extension theorem in $L_p$ implies that when $X$ and $Y$ are isometric subspaces of $L_p$ and $p$ is not an even integer, $1 leq p < infty$, then $X$ is complemented in $L_p$ if and only if $Y$ is; moreover the constants of complementation of $X$ and $Y$ are equal. We provide examples demonstrating that this fact fails when $p$ is an even integer larger than 2." @default.
- W4300793891 created "2022-10-04" @default.
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- W4300793891 date "1997-09-10" @default.
- W4300793891 modified "2023-10-16" @default.
- W4300793891 title "On isometric stability of complemented subspaces of ${L_p}$" @default.
- W4300793891 doi "https://doi.org/10.48550/arxiv.math/9709214" @default.
- W4300793891 hasPublicationYear "1997" @default.
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