Purely non-atomic weak $L^p$ spaces

Abstract

Let (Ω,∑,μ) be a purely non-atomic measure space, and let 1 < p < ∞. If $L^{p,∞}(Ω,∑,μ)$ is isomorphic, as a Banach space, to $L^{p,∞}(Ω',∑',μ')$ for some purely atomic measure space (Ω',∑',μ'), then there is a measurable partition $Ω = Ω_{1} ∪ Ω_{2}$ suc

Identifiers

DOI

10.4064/sm-122-1-55-66

Citations and references