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Families of Sequences of 0s and 1s In FK-Spaces

Published online by Cambridge University Press:  20 November 2018

John Sember
John Sember*
Affiliation:
Simon Fraser University, Burnaby, B.C. V5A 1S6
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Abstract

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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.

Keywords

46A4540A05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 18 - 23
Copyright
Copyright © Canadian Mathematical Society 1990

References

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