Families of Sequences of 0s and 1s In FK-Spaces
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 18-23
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A characterization is given of those families F of subsets of the positive integers for which σ(l1, ) 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 matrix to "sum" the characteristic functions of the lacunary sets.
Sember, John. Families of Sequences of 0s and 1s In FK-Spaces. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 18-23. doi: 10.4153/CMB-1990-003-x
@article{10_4153_CMB_1990_003_x,
author = {Sember, John},
title = {Families of {Sequences} of 0s and 1s {In} {FK-Spaces}},
journal = {Canadian mathematical bulletin},
pages = {18--23},
year = {1990},
volume = {33},
number = {1},
doi = {10.4153/CMB-1990-003-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-003-x/}
}
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