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This article is cited in 8 scientific papers (total in 8 papers)
Structure of the set of sums of a conditionally convergent series in a normed space
S. A. Chobanyan
Abstract:
Conditions are investigated for the set of sums of a conditionally convergent series with terms in a normed space to be linear. Main result: if $\sum a_k$ is a conditionally convergent series such that $\sum a_kr_k(s)$ converges for almost all $s$, then the set of sums of the series $\sum a_k$ is linear ($(r_k)$ is the sequence of Rademacher functions).
Bibliography: 24 titles.
Received: 27.06.1984
Citation:
S. A. Chobanyan, “Structure of the set of sums of a conditionally convergent series in a normed space”, Mat. Sb. (N.S.), 128(170):1(9) (1985), 50–65; Math. USSR-Sb., 56:1 (1987), 49–62
Linking options:
https://www.mathnet.ru/eng/sm2017https://doi.org/10.1070/SM1987v056n01ABEH003023 https://www.mathnet.ru/eng/sm/v170/i1/p50
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Abstract page: | 665 | Russian version PDF: | 181 | English version PDF: | 14 | References: | 63 |
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