Sequences of 0's and 1's (Q2773411)

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scientific article; zbMATH DE number 1710001
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English
Sequences of 0's and 1's
scientific article; zbMATH DE number 1710001

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    Sequences of 0's and 1's (English)
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    21 February 2002
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    Hahn space
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    FK-space
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    barrelled subspace
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    set of natural density
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    Cesàro limitable sequence
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    In this paper the authors investigate the problem to what extend a given sequence space may be determined by the linear span of the sequences of 0s and 1s contained in the space. They have done here an extensive study of this problem and several theorems are given. They also give several concrete illustrations of the results discussed in the paper. Further they have a list of problems, some of which are still open, while for some others they suggest what level of finalization is achievable presently.
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