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- W2111674703 abstract "We examine the subspace structure of the Lorentz function space Lp,g(0, oo). Our main result is that a subspace of LPlg(0, oo), p ^ 2, q < oo, must either strongly embed in Lp(0,1) or contain a complemented copy of lq. 1. Introduction. In this paper we examine the subspace structure of the Lorentz function spaces LPt0(0,1) and Lp,q(0, oo). (Throughout, subspace will mean a closed, infinite-dimensional subspace.) Our main result, presented in §2, is that a subspace of Lp^q(0,oo), p ^ 2, q < oo, is either isomorphic to a strongly embedded subspace of Lp(0,1), or contains a complemented copy of lq. (Recall that a subspace" @default.
- W2111674703 created "2016-06-24" @default.
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- W2111674703 date "1988-01-01" @default.
- W2111674703 modified "2023-09-24" @default.
- W2111674703 title "Subspaces Of Lp,q" @default.
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