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A strengthening of Leth's uniqueness condition for sequences

Author: Jerome Malitz
Journal: Proc. Amer. Math. Soc. 98 (1986), 641-642
MSC: Primary 40A99
MathSciNet review: 861767
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Abstract: A series $ \sum {a_i}$ of nonnegative reals summing to 1 such that $ {a_i} \leq {\sum _{j > i}}{a_j}$ for eacn $ i$ is uniquely characterized by the equalities of the form $ {\sum _J}{a_i} = {\sum _K}{a_k}$. This characterization is an improvement of one given by Leth.

References [Enhancements On Off] (What's this?)

  • [1] R. Chauqui and J. Malitz, Preorderings compatible with probability measures, Trans. Amer. Math. Soc. 279 (1983), 811-824. MR 709585 (85d:60010)
  • [2] S. Leth, A uniqueness condition for sequences, Proc. Amer. Math. Soc. 93 (1985), 287-290. MR 770538 (86b:26027)
  • [3] J. Mycielski, Personal communication.

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Article copyright: © Copyright 1986 American Mathematical Society

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