Uniform factorization for compact sets of operators acting from a Banach space to its dual space
DOI:
https://doi.org/10.12697/ACUTM.2005.09.10Keywords:
Banach spaces, compact subsets of weakly compact operators, uniform factorization, uniform compact factorization, 2-homogeneous polynomialsAbstract
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.
