Subspaces Of Lp,q

Author(s)

N L. Carothers, Bowling Green State University - Main CampusFollow
S J. Dilworth, University of South Carolina - ColumbiaFollow

Document Type

Article

Abstract

We examine the subspace structure of the Lorentz function space Lp,q[0, oo). Our main result is that a subspace of Lp,q[0, oo), p ^ 2, q < oo,must either strongly embed in Lp[0,1] or contain a complemented copy of lq.

Publication Info

Published in Proceedings of the American Mathematical Society, Volume 104, Issue 2, 1988, pages 537-545.

Rights

First published in Proceedings of the American Mathematical Society in 1988, published by the American Mathematical Society.

Carothers, N. L., & Dilworth, S. J. (1988). Subspaces of Lp,q. Proceedings of the American Mathematical Society, 104 (2) 537-545.