Published January 1, 2016 | Version v1
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Uniform factorization for p-compact sets of p-compact linear operators

  • 1. Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

Description

Obtaining 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.

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