On the representation of uncountable symmetric basic sets and its applications
Studia Mathematica, Tome 107 (1993) no. 3, pp. 287-304
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
symmetric basis, Orlicz sequence spaces, Lorentz sequence spaces
Francisco L. Hernandez. On the representation of uncountable symmetric basic sets and its applications. Studia Mathematica, Tome 107 (1993) no. 3, pp. 287-304. doi: 10.4064/sm-107-3-287-304
@article{10_4064_sm_107_3_287_304,
author = {Francisco L. Hernandez},
title = {On the representation of uncountable symmetric basic sets and its applications},
journal = {Studia Mathematica},
pages = {287--304},
year = {1993},
volume = {107},
number = {3},
doi = {10.4064/sm-107-3-287-304},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-287-304/}
}
TY - JOUR AU - Francisco L. Hernandez TI - On the representation of uncountable symmetric basic sets and its applications JO - Studia Mathematica PY - 1993 SP - 287 EP - 304 VL - 107 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-287-304/ DO - 10.4064/sm-107-3-287-304 LA - en ID - 10_4064_sm_107_3_287_304 ER -
%0 Journal Article %A Francisco L. Hernandez %T On the representation of uncountable symmetric basic sets and its applications %J Studia Mathematica %D 1993 %P 287-304 %V 107 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-287-304/ %R 10.4064/sm-107-3-287-304 %G en %F 10_4064_sm_107_3_287_304
Cité par Sources :