Families of Sequences of 0s and 1s In <i>FK</i>-Spaces
Families of Sequences of 0s and 1s In <i>FK</i>-Spaces
Abstract A characterization is given of those families ℱ of subsets of the positive integers for which σ(ℓ 1 , ) is sequentially complete, where denotes the linear span of the characteristic functions of ℱ. Consequences include some known matrix results, such as Hahn's Theorem and conditions required for a …