On the representation of uncountable symmetric basic sets and its applications
Volume 107 / 1993
Studia Mathematica 107 (1993), 287-304
DOI: 10.4064/sm-107-3-287-304
Abstract
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.