Disjoint strict singularity of inclusions between rearrangement invariant spaces
Francisco L. Hernández ; Víctor M. Sánchez ; Evgueni M. Semenov
Studia Mathematica, Tome 147 (2001), p. 209-226 / Harvested from The Polish Digital Mathematics Library
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It is studied when inclusions between rearrangement invariant function spaces on the interval [0,∞) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions L¹∩L∞↪E and E↪L¹+L∞ to be disjointly strictly singular are shown. Applications to the classes of Lorentz and Marcinkiewicz spaces are given.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:285098 
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     title = {Disjoint strict singularity of inclusions between rearrangement invariant spaces},
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Francisco L. Hernández; Víctor M. Sánchez; Evgueni M. Semenov. Disjoint strict singularity of inclusions between rearrangement invariant spaces. Studia Mathematica, Tome 147 (2001) pp. 209-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-2/