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Random embeddings of Euclidean spaces in sequence spaces

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Abstract

It is proved that for some absolute constantd and forn≦dm mostn×m matrices with ± 1 entries are good embeddings ofl n2 intol m1 . Similar theorems are obtained wherel m1 is replaced by members of a wide class of sequence spaces.

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    Gideon Schechtman

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  1. Gideon Schechtman
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Supported in part by NSF Grant No. MCS-79-03042.

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Schechtman, G. Random embeddings of Euclidean spaces in sequence spaces. Israel J. Math. 40, 187–192 (1981). https://doi.org/10.1007/BF02761909

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  • DOI: https://doi.org/10.1007/BF02761909

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