We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L 1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L Φ with Φ(x) = exp(x2)-1.
Positivity – Springer Journals
Published: Oct 14, 2004
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