Uniform factorization for compact sets of operators acting from a Banach space to its dual space

  • Kristel Mikkor University of Tartu
  • Eve Oja University of Tartu
Keywords: Banach spaces, compact subsets of weakly compact operators, uniform factorization, uniform compact factorization, 2-homogeneous polynomials

Abstract

Let X be a Banach space. We prove a uniform factorization result that describes the factorization of compact sets of compact and weakly compact operators acting from X to X* via Hölder continuous homomorphisms having Lipschitz continuous inverses. This yields a similar factorization result for compact sets of 2-homogeneous polynomials.

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Author Biographies

Kristel Mikkor, University of Tartu

Faculty of Mathematics and Computer Science

Eve Oja, University of Tartu

Faculty of Mathematics and Computer Science

Published
2005-12-31
Section
Articles