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- W4387560291 abstract "We introduce a new notion of embeddability between Banach spaces. By studying the classical Mazur map, we show that it is strictly weaker than the notion of coarse embeddability. We use the techniques from metric cotype introduced by M. Mendel and A. Naor to prove results about cotype preservation and complete our study of embeddability between $ell_p$ spaces. We confront our notion with nonlinear invariants introduced by N. Kalton, which are defined in terms of concentration properties for Lipschitz maps defined on countably branching Hamming or interlaced graphs. Finally, we address the problem of the embeddability into $ell_infty$." @default.
- W4387560291 created "2023-10-12" @default.
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- W4387560291 creator A5062773136 @default.
- W4387560291 date "2023-10-09" @default.
- W4387560291 modified "2023-10-18" @default.
- W4387560291 title "On the expansiveness of coarse maps between Banach spaces and geometry preservation" @default.
- W4387560291 doi "https://doi.org/10.48550/arxiv.2310.05684" @default.
- W4387560291 hasPublicationYear "2023" @default.
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