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Šalát, Tibor

On subseries of divergent series. (English) Zbl 0169.07201

Mat. Čas., Slovensk. Akad. Vied 18, 312-338 (1968).
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Cited in 2 Reviews
Cited in 9 Documents

MSC:

40A05 Convergence and divergence of series and sequences
11B05 Density, gaps, topology

Keywords:

series, summability

Citations:

Zbl 0127.02804; Zbl 0168.29803
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\textit{T. Šalát}, Mat. Čas., Slovensk. Akad. Vied 18, 312--338 (1968; Zbl 0169.07201)

References:

[1] Banerjee C R., Lahiri B. K.: On subseries of divergent series. Amer. Math. Monthly, 71 (1964), 767-768. · Zbl 0127.02804
[2] Djokovič D. Ž.: On divergent series of positive terms. Publikacije Elektr. Fak. Univ. Beograd, Ser. Mat. Fiz., 140 (1965), 58. · Zbl 0128.28701
[3] Marcus S.: On the Darboux property for atomic measures and for series with positive terms. Rev. math. pures et appl., 11 (1966), 647-652. · Zbl 0168.29803
[4] Knopp K.: Mengentheoretische Behandlung einiger Probleme der diophantischen Approximationen und der transfiniten Wahrscheinlichkeiten. Math. Ann., 95 (1926), 409-426. · JFM 51.0162.01
[5] Bush K. A.: Locally recurrent functions. Amer. Math. Monthly, 70 (1963), 199-206. · Zbl 0114.03303
[6] Marcus S.: On locally recurrent functions. Amer. Math. Monthly, 70 (1963), 822-826. · Zbl 0117.28804
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[9] Шалат Т.: О мєрє Хаусдорфа лунєйных множєсмв. Чєхосл. матєм. ж. 11 (1961), 24-56.
[10] Šalát T.: On subseries. Math. Z. 85 (1964), 209-225. · Zbl 0127.28801
[11] Banerjee C. R., Lahiri B. K.: Some theorems on subseries of divergent series. Indian J. Mech. and Math. 2 (1964), 24-27. · Zbl 0127.02804
[12] Hill J. D.: Some theorems on subseries. Bull. Amer. Math. Soc. 48 (1942), 103-108. · Zbl 0063.02015
[13] Kuratowski K.: Topologie I. Warszawa, 1958. · Zbl 0078.14603
[14] Пойа Г., Сеге Г.: Задачи и теоремы из анализа. Москва 1956. · Zbl 0995.90522
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[16] Auerbach H.: Über die Vorzeichenverteilung in unendlichen Reihen. Studia Math. 2 (1930), 228-230, · JFM 56.0200.02
[17] Agnew R. P.: Subseries of series which are not absolutely convergent. Bull. Amer. Math. Soc. 53 (1947), 118-120. · Zbl 0037.04704
[18] Šalát T.: A remark on normal numbers. Revue math, pures et appl. 11 (1966), 53-56. · Zbl 0178.38001
[19] Шалат Т.: К теории Канторовских разложений действительных чисел. Mat.-fyz. časop. 12 (1962), 85-96. · Zbl 1005.68507
[20] Marcus S.: Sur les proprietes differentiates des fonctions dont les points de continuity forment un ensemble frontiére partout dense. Ann. l’ecole norm. sup. 79 (1962), 1-21.
[21] Halperin I.: Discontinuous functions with the Darboux property. Amer. Math. Monthly 57 (1950), 539-540. · Zbl 0040.17301
[22] Halperin I.: Discontinuous functions with the Darboux property. Canad. Math. Bull. 2 (1959), 111-118. · Zbl 0089.03402
[23] Šalát T.: Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Mass. Publs. Math. Inst. Hung. Acad. Sci. 6 (1961), 15-41. · Zbl 0119.28502
[24] Ostmann H. H.: Additive Zahlentheorie I. Berlin-Gőttigen-Heidelberg 1956. · Zbl 0072.03101
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