Authors: N. T. Peck and T. Starbird
Journal: Proc. Amer. Math. Soc. 83 (1981), 700-704
MSC: Primary 46E30; Secondary 46B25, 46G15
MathSciNet review: 630040
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Abstract: Let be the space of measurable functions on the unit interval. Let and be two subspaces of , each isomorphic to the space of all sequences. It is proved that there is a linear homeomorphism of onto itself which takes onto . A corollary of this is a lifting theorem for operators into , where is a subspace of isomorphic to the space of all sequences.
Keywords: Space of measurable functions, subspace isomorphic to , transitivity of operators, lifting of linear operator, functions with disjoint supports
Article copyright: © Copyright 1981 American Mathematical Society