Uniform factorization for p-compact sets of p-compact linear operators

Caliskan, ErhanKeten, Aysegul2024-02-232024-02-2320160022-247X1096-0813https://doi.org/10.1016/j.jmaa.2016.01.030https://hdl.handle.net/20.500.12452/12214Obtaining a factorization of p-compact linear operators via universal Banach spaces, and using the lifting property of quotient maps for p-compact sets we prove a factorization result for relatively r-compact subsets of p-compact operators, where r >= 2, 1 <= p <= r < infinity. To apply our results to homogeneous polynomials, in particular, we show that relatively p-compact subsets of a Banach space of p-compact operators are collectively p-compact. (C) 2016 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessBanach SpacesP-Compact SetsP-Compact Linear OperatorsFactorizationTensor ProductHomogeneous PolynomialsUniform factorization for p-compact sets of p-compact linear operatorsArticle4372105810692-s2.0-84957427711Q1WOS:000370312500015Q110.1016/j.jmaa.2016.01.030