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
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.
- [CM] Rolando Chuaqui and Jerome Malitz, Preorderings compatible with probability measures, Trans. Amer. Math. Soc. 279 (1983), no. 2, 811–824. MR 709585, https://doi.org/10.1090/S0002-9947-1983-0709585-3
- [R] H. L. Royden, Real analysis, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1963. MR 0151555