Sparsity and non-Euclidean embeddings

Details Sparsity and non-Euclidean embeddings Sparsity and non-Euclidean embeddings

2011-07-05

arxiv.org/abs/1107.0992v1

Mathematics

Functional Analysis

Scientific paper

We present a relation between sparsity and non-Euclidean isomorphic embeddings. We introduce a general restricted isomorphism property and show how it enables to construct embeddings of $\ell_p^n$, $p > 0$, into various type of Banach or quasi-Banach spaces. In particular, for $0 0$.

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