Summable subsequences in convergence groups
نویسندگان
چکیده
منابع مشابه
Convergence and Summability Properties of Subsequences
In this paper we shall discuss the relation of the convergence or (C, 1) summability of a sequence to that of its subsequences. Some analogous questions for subseries have been considered [ö]. Let {sn} be an arbitrary sequence. We can obtain a 1-1 map of its infinite subsequences on the interval 0 < / ^ l as follows. Let /= .a ia 2 a 3 • • • be the infinite dyadic expansion of a point / of the ...
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Let G be a finite abelian group and k ∈ N with k exp(G). Then Ek(G) denotes the smallest integer l ∈ N such that every sequence S ∈ F(G) with |S| ≥ l has a zero-sum subsequence T with k |T |. In this paper we prove that if G = Cn1 ⊕ · · · ⊕ Cnr is a p-group, k ∈ N with k exp(G) and gcd(p, k) = 1, then Ek(G) = ⌊ k k − 1 r ∑
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1986
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1986.102081