A Simple Proof of the Johnson–Lindenstrauss Extension Theorem

DOI10.1080/00029890.2019.1642071zbMath1433.46004arXiv1803.03606OpenAlexW2982146632MaRDI QIDQ5238055

Manor Mendel

Publication date: 28 October 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03606

zbMATH Keywords

Gaussian random variablesextension of Lipschitz mapsJohnson-Lindenstrauss theorem

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Probabilistic methods in Banach space theory (46B09) Continuous and differentiable maps in nonlinear functional analysis (46T20) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Cites Work

• Markov chains, Riesz transforms and Lipschitz maps
• Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
• Extensions of Lipschitz mappings into a Hilbert space
• Lipschitz Algebras
• Some applications of Ball’s extension theorem

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