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Purely non-atomic weak L^p spaces
Let \msp be a purely non-atomic measure space, and let . If
\weakLp\msp is isomorphic, as a Banach space, to \weakLp\mspp for some
purely atomic measure space \mspp, then there is a measurable partition
such that
is countably
generated and -finite, and that or for every
measurable . In particular, \weakLp\msp is
isomorphic to
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