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Bhaskara Rao, M.; Bhaskara Rao, K. P. S.; Rao, B. V.

Remarks on subsequences, subseries and rearrangements. (English) Zbl 0412.40001

Proc. Am. Math. Soc. 67(1977), 293-296 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 7 Documents

MSC:

40A05 Convergence and divergence of series and sequences
28A35 Measures and integrals in product spaces
54A99 Generalities in topology

Keywords:

subsequences of a given sequence; convergence of series; Baire category
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References:

[1] Ralph Palmer Agnew, On rearrangements of series, Bull. Amer. Math. Soc. 46 (1940), 797 – 799. · Zbl 0024.25902
[2] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[3] John C. Oxtoby, Measure and category, 2nd ed., Graduate Texts in Mathematics, vol. 2, Springer-Verlag, New York-Berlin, 1980. A survey of the analogies between topological and measure spaces. · Zbl 0435.28011
[4] John Stout and F. V. Meyer, Problems and Solutions: Solutions of Advanced Problems: 5805, Amer. Math. Monthly 79 (1972), no. 9, 1045 – 1046. · doi:10.2307/2318091
[5] Tibor Šalát, On subseries of divergent series, Mat. Časopis Sloven. Akad. Vied 18 (1968), 312 – 338 (English, with Loose Russian summary). · Zbl 0169.07201
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