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An Extension of Nikishin's Factorization Theorem

  Published:2016-10-12
 Printed: Mar 2017
  • Geoff Diestel,
    Texas A&M University-Central Texas, 1001 Leadership Place, Killeen TX 76549, USA
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Abstract

A Nikishin-Maurey characterization is given for bounded subsets of weak-type Lebesgue spaces. New factorizations for linear and multilinear operators are shown to follow.
Keywords: factorization, type, cotype, Banach spaces factorization, type, cotype, Banach spaces
MSC Classifications: 46E30, 28A25 show english descriptions Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Integration with respect to measures and other set functions
46E30 - Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
28A25 - Integration with respect to measures and other set functions
 

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