Abstract
Let L 0 {L_0} be the space of measurable functions on the unit interval. Let F F and G G be two subspaces of L 0 {L_0} , each isomorphic to the space of all sequences. It is proved that there is a linear homeomorphism of L 0 {L_0} onto itself which takes F F onto G G . A corollary of this is a lifting theorem for operators into L 0 / F {L_0}/F , where F F is a subspace of L 0 {L_0} isomorphic to the space of all sequences.
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