Embeddings of rearrangement invariant spaces that are not strictly singular
S. J. Montgomery-Smith, E. M. Semenov
Abstract
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L1([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 LPhi with Phi(x) = exp(x2)-1.
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