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Families of Sequences of 0s and 1s In FK-Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1990
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