Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

Authors

  • M.V. Dubei Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • A.V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-5554-4342

Keywords:

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

Abstract

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

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