| Title:
|
On Subseries of Divergent Series (English) |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Matematický časopis |
| ISSN:
|
0025-5173 |
| Volume:
|
18 |
| Issue:
|
4 |
| Year:
|
1968 |
| Pages:
|
312-338 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40.13 |
| idZBL:
|
Zbl 0169.07201 |
| idMR:
|
MR0252890 |
| . |
| Date available:
|
2009-09-25T07:58:26Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126864 |
| . |
| Reference:
|
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| Reference:
|
[2] Djokovič D. Ž.: On divergent series of positive terms.Publikacije Elektr. Fak. Univ. Beograd, Ser. Mat. Fiz., 140 (1965), 58. |
| Reference:
|
[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, MR 0200400 |
| Reference:
|
[4] Knopp K.: Mengentheoretische Behandlung einiger Probleme der diophantischen Approximationen und der transfiniten Wahrscheinlichkeiten.Math. Ann., 95 (1926), 409-426. MR 1512285 |
| Reference:
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[5] Bush K. A.: Locally recurrent functions.Amer. Math. Monthly, 70 (1963), 199-206. MR 0132131 |
| Reference:
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[6] Marcus S.: On locally recurrent functions.Amer. Math. Monthly, 70 (1963), 822-826. Zbl 0117.28804, MR 0158954 |
| Reference:
|
[7] Perron O.: Irrationalzahlen.de Gruyter, Berlin-Leipzig, 1921. MR 0115985 |
| Reference:
|
[8] Volkmann B.: Über Klassen von Mengen natürlicher Zahlen.J. гeine und angew. Math., 190 (1952), 199-230. MR 0056038 |
| Reference:
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[9] Шaлaт T.: O мepe Xaycдopфa лuнeйныx мнoжecmв.Чexocл. мaтeм. ж. 11 (1961), 24-56. |
| Reference:
|
[10] Šalát T.: On subseries.Math. Z. 85 (1964), 209-225. MR 0179507 |
| Reference:
|
[11] Banerjee C. R., Lahiri B. K.: Some theorems on subseries of divergent series.Indian J. Mech. and Math. 2 (1964), 24-27. MR 0177226 |
| Reference:
|
[12] Hill J. D.: Some theorems on subseries.Bull. Amеr. Math. Ѕоc. 48 (1942), 103-108. Zbl 0063.02015, MR 0005391 |
| Reference:
|
[13] Kuгatоwski K.: Topologie I.Warszawa, 1958. |
| Reference:
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[14] Пойа Г., Сеге Г.: Задачи и теоремы из анализа.Mocквa 1956. Zbl 0995.90522 |
| Reference:
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[15] Ulam S.: Über gewisse Zerlegungen von Mengen.Fund. Math. 20 (1933), 221-223. Zbl 0007.15203 |
| Reference:
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[16] Auerbach H.: Über die Vorzeichenverteilung in unendlichen Reihen.Studia Math. 2 (1930), 228-230, |
| Reference:
|
[17] Agnew R. P.: Subseries of series which are not absolutely convergent.Bull. Amer. Math. Soc. 53 (1947), 118-120. Zbl 0037.04704, MR 0019749 |
| Reference:
|
[18] Šalát T.: A remark on normal numbers.Revue math, pures et appl. 11 (1966), 53-56. MR 0201386 |
| Reference:
|
[19] Шалат Т.: К теории Канторовских разложений действительных чисел.Mat.-fyz. časop. 12 (1962), 85-96. Zbl 1005.68507, MR 0158193 |
| Reference:
|
[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. MR 0202933 |
| Reference:
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[21] Halperin I.: Discontinuous functions with the Darboux property.Amer. Math. Monthly 57 (1950), 539-540. Zbl 0040.17301, MR 0038415 |
| Reference:
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[22] Halperin I.: Discontinuous functions with the Darboux property.Canad. Math. Bull. 2 (1959), 111-118. Zbl 0089.03402, MR 0104770 |
| Reference:
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[23] Šalát T.: Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Mass.Publs. Math. Inst. Hung. Acad. Sci. 6 (1961), 15-41. MR 0147465 |
| Reference:
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[24] Ostmann H. H.: Additive Zahlentheorie I.Berlin-Gőttigen-Heidelberg 1956. Zbl 0072.03101 |
| . |
