Subspaces of $L_ {p,q}$
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- by N. L. Carothers and S. J. Dilworth PDF
- Proc. Amer. Math. Soc. 104 (1988), 537-545 Request permission
Abstract:
We examine the subspace structure of the Lorentz function space ${L_{p,q}}[0,\infty )$. Our main result is that a subspace of ${L_{p,q}}[0,\infty ),p \ne 2,q < \infty$, must either strongly embed in ${L_p}[0,1]$ or contain a complemented copy of ${l_q}$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 537-545
- MSC: Primary 46E30; Secondary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962825-8
- MathSciNet review: 962825