Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

Keywords: tensor product, Lipschitz map, metric space, free Banach space
Published online: 2011-06-30


We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces. Using the analogues of tensor products of metric spaces and linearizations of analytic functions we construct a global linearization of Lipschitz-polynomial and Lipschitz-analytic maps.

How to Cite
Dubei M., Zagorodnyuk A. Linearization of Lipschitz-Polynomial and Lipschitz-Analytic Mappings. Carpathian Math. Publ. 2011, 3 (1), 40–48.

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