It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.
@article{bwmeta1.element.bwnjournal-article-smv107i3p287bwm,
author = {Francisco Hernandez and Stanimir Troyanski},
title = {On the representation of uncountable symmetric basic sets and its applications},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {287-304},
zbl = {0811.46010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv107i3p287bwm}
}
Hernandez, Francisco; Troyanski, Stanimir. On the representation of uncountable symmetric basic sets and its applications. Studia Mathematica, Tome 104 (1993) pp. 287-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv107i3p287bwm/
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