Fine embeddings of finite-dimensional subspaces of $L_ p,\;1\leq p<2$, into $l^ m_ 1$
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- by Gideon Schechtman PDF
- Proc. Amer. Math. Soc. 94 (1985), 617-623 Request permission
Abstract:
Every $m$-dimensional subspace of ${L_p}$, $1 < p < 2$, $(1 + \varepsilon )$-embeds into $l_1^n$ as long as $n \geqslant \eta {m^{1 + (1/p)}}{(\log m)^{ - 1}}$, where $\eta = \eta (p,\varepsilon ) < \infty$. For subspaces of ${L_1}$ we get a somewhat weaker result.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 617-623
- MSC: Primary 46E30; Secondary 46B99
- DOI: https://doi.org/10.1090/S0002-9939-1985-0792272-0
- MathSciNet review: 792272