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

DOI

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.
DOI : 10.4064/sm-107-3-287-304
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 :