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 -
