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Sets and Subseries

Published online by Cambridge University Press:  20 November 2018

G. M. Petersen
G. M. Petersen*
Affiliation:
University College of Swansea
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Extract

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Suppose αn ≠ 0 for all n. By replacing a set of terms from the series Σαn by 0's, we form a subseries of the original series. These subseries can be put in one to one correspondence with the non-terminating binary expansion of the points on the real line segment (0, 1).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 223 - 224
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Hill, J. D., Summability of sequences of 0's and l's, Annals of Math., 46 (1945), 556–62.Google Scholar