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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A uniqueness condition for sequences


Author: Steven Leth
Journal: Proc. Amer. Math. Soc. 93 (1985), 287-290
MSC: Primary 26D15; Secondary 40A05
MathSciNet review: 770538
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Abstract: Under certain conditions a sequence of real numbers converging to zero is determined up to a constant multiple by the comparisons of its subsums. One such condition is that each number in the sequence be majorized by the sum of the elements beyond it.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0770538-8
PII: S 0002-9939(1985)0770538-8
Article copyright: © Copyright 1985 American Mathematical Society