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Hernández, Francisco L. and Sánchez de los Reyes, Víctor Manuel and Semenov, Evgeny M. (2001) Disjoint strict singularity of inclusions between rearrangement invariant spaces. Studia Mathematica, 144 (3). pp. 209-226. ISSN 0039-3223
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Abstract
It is studied when inclusions between rearrangement invariant function spaces on the interval [0, infinity) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions L 1 ∩L ∞ ↪E and E↪L 1 +L ∞ to be disjointly strictly singular are shown. Applications to the classes of Lorentz and Marcinkiewicz spaces are given.
| Item Type: | Article |
|---|---|
| Additional Information: | The authors wish to thank the referee for his suggestions and detailed remarks. |
| Uncontrolled Keywords: | Rearrangement invariant function spaces; Inclusion operator; Strictly singular; Weakly compact; Lorentz and Marcinkiewicz spaces |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 19909 |
| Deposited On: | 12 Feb 2013 16:35 |
| Last Modified: | 27 Jun 2018 07:34 |
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