Concentration of $1$-Lipschitz maps into an infinite dimensional $\ell ^p$-ball with the $\ell ^q$-distance function

DOI10.1090/S0002-9939-09-09873-6zbMath1202.46012arXiv0808.3238MaRDI QIDQ3631848

Kei Funano

Publication date: 22 June 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3238

zbMATH Keywords

Lipschitz mapmetric measure spaceLévy-Milman concentration phenomenonobservable diameter

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Local theory of Banach spaces (46B07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (2)

Concentration of maps and group actions ⋮ Concentration of measure for quantum states with a fixed expectation value

Cites Work

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