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