Geodesic
On the representation of uncountable symmetric basic sets and its applications
Studia Mathematica, Tome 107 (1993) no. 3, pp. 287-304

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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 1

1 
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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

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