Disjoint strict singularity of inclusions between rearrangement invariant spaces

Francisco L. Hernández, Víctor M. Sánchez, and Evgueni M. Semenov. "Disjoint strict singularity of inclusions between rearrangement invariant spaces." Studia Mathematica 144.3 (2001): 209-226. <http://eudml.org/doc/285098>.

@article{FranciscoL2001,
abstract = {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.},
author = {Francisco L. Hernández, Víctor M. Sánchez, Evgueni M. Semenov},
journal = {Studia Mathematica},
keywords = {rearrangement invariant function spaces; inclusion operator; strictly singular; weakly compact; Lorentz and Marcinkiewicz spaces},
language = {eng},
number = {3},
pages = {209-226},
title = {Disjoint strict singularity of inclusions between rearrangement invariant spaces},
url = {http://eudml.org/doc/285098},
volume = {144},
year = {2001},
}

TY - JOUR
AU - Francisco L. Hernández
AU - Víctor M. Sánchez
AU - Evgueni M. Semenov
TI - Disjoint strict singularity of inclusions between rearrangement invariant spaces
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 3
SP - 209
EP - 226
AB - 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.
LA - eng
KW - rearrangement invariant function spaces; inclusion operator; strictly singular; weakly compact; Lorentz and Marcinkiewicz spaces
UR - http://eudml.org/doc/285098
ER -