Isomorphic embedding of ℓnp, 1 < p < 2, into ℓ(1+ε)n1

Assaf Naor; Artem Zvavitch

doi:10.1007/BF02809909

Isomorphic embedding of ℓⁿ_p, 1 < p < 2, into ℓ^(1+ε)n₁

Assaf Naor, Artem Zvavitch

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we partially answer a question posed by V. Milman and G. Schechtman by proving that ℓⁿ_p, (C log n)^1/q(1+1/ε)-embeds into ℓ^(1+ε)n₁, where 1 < p < 2 and 1/p + 1/q = 1.

Original language	English (US)
Pages (from-to)	371-380
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	122
DOIs	https://doi.org/10.1007/BF02809909
State	Published - 2001

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02809909

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title = "Isomorphic embedding of ℓnp, 1 < p < 2, into ℓ(1+ε)n1",

abstract = "In this paper we partially answer a question posed by V. Milman and G. Schechtman by proving that ℓnp, (C log n)1/q(1+1/ε)-embeds into ℓ(1+ε)n1, where 1 < p < 2 and 1/p + 1/q = 1.",

author = "Assaf Naor and Artem Zvavitch",

year = "2001",

doi = "10.1007/BF02809909",

language = "English (US)",

volume = "122",

pages = "371--380",

journal = "Israel Journal of Mathematics",

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AB - In this paper we partially answer a question posed by V. Milman and G. Schechtman by proving that ℓnp, (C log n)1/q(1+1/ε)-embeds into ℓ(1+ε)n1, where 1 < p < 2 and 1/p + 1/q = 1.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Isomorphic embedding of ℓⁿ_p, 1 < p < 2, into ℓ^(1+ε)n₁

Abstract

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