| Title:
|
On integration in Banach spaces, I (English) |
| Author:
|
Dobrakov, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
20 |
| Issue:
|
3 |
| Year:
|
1970 |
| Pages:
|
511-536 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A45 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 0215.20103 |
| idMR:
|
MR0365138 |
| DOI:
|
10.21136/CMJ.1970.100979 |
| . |
| Date available:
|
2008-06-09T13:48:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100979 |
| . |
| Reference:
|
[1] Bartle R. G.: A general bilinear vector integral.Studia Math. 15 (1956), 337-352. Zbl 0070.28102, MR 0080721, 10.4064/sm-15-3-337-352 |
| Reference:
|
[2] Bartle R. G., Dunford N., Schwartz J.: Weak compactness and vector measures.Canadian J. Math. 7(1955), 289-305. Zbl 0068.09301, MR 0070050, 10.4153/CJM-1955-032-1 |
| Reference:
|
[3] Batt J.: Integraldarstellungen linearer Transformationen und schwache Kompaktheit.Math. Annalen 174 (1967), 291-304. Zbl 0157.21004, MR 0223913, 10.1007/BF01364276 |
| Reference:
|
[4] Berberian S. K.: Measure and integration.Macmillan, New York, 1965. Zbl 0126.08001, MR 0183839 |
| Reference:
|
[5] Bessaga C., Pelczyňski A.: On bases and unconditional convergence of series in Banach spaces.Studia Math. 17 (1958), 151-164. MR 0115069, 10.4064/sm-17-2-151-164 |
| Reference:
|
[6] Dinculeanu N.: Vector measures.VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. Zbl 0142.10502, MR 0206189 |
| Reference:
|
[7] Dinculeanu N., Kluvánek I.: On vector measures.Proc. London Math. Soc. 17 (1967), 505-512. MR 0214722 |
| Reference:
|
[8] Dobrakov I.: On integration in Banach spaces, II.Czech. Math. J. 20 (95) (1970). Zbl 0224.46050, MR 0365139 |
| Reference:
|
[9] Dobrakov I.: On representation of linear operators on $C\sb{0} (T, X)$.Czech. Mat. J. (to appear). Zbl 0225.47018, MR 0276804 |
| Reference:
|
[10] Dunford N., Schwartz J.: Linear operators, part I.Interscience, New York, 1958. |
| Reference:
|
[11] Gowurin M.: Über die Stieltjessche Integration abstrakter Funktionen.Fund. Math. 27 (1936), 255-268. Zbl 0016.06104, 10.4064/fm-27-1-254-265 |
| Reference:
|
[12] Halmos P. R.: Measure theory.D. Van Nostrand, New York 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[13] Hildebrandt T. H.: Integration in abstract spaces.Bull. Amer. Math. Soc. 59 (1953), 111-139. Zbl 0051.04201, MR 0053191, 10.1090/S0002-9904-1953-09694-X |
| Reference:
|
[14] Hille E., Phillips R.: Functional analysis and semigroups.Amer. Math. Soc. Coll. Publ., Providence, 1957. Zbl 0078.10004, MR 0089373 |
| Reference:
|
[15] Kluvánek I.: Some generalizations of the Riesz-Kakutani theorem.(Russian), Czech, Math. J. 13 (88), (1963), 89-113. MR 0151574 |
| Reference:
|
[16] Kluvánek I.: On the theory of vector measures.(Russian), Mat.-fyz. časop. SAV, 11 (1961), 173-192. MR 0151573 |
| Reference:
|
[17] Kluvánek I.: On the theory of vector measures II.(Russian), Mat.-fyz. časopis SAV, 16 (1966), 76-81. MR 0201593 |
| Reference:
|
[18] Kluvánek I.: Characterization of Fourier-Stieltjes transforms of vector and operator valued measures.Czech. Math. J. 17 (92) (1967), 261-277. MR 0230872 |
| Reference:
|
[19] Loeve M.: Probability theory.2nd ed. D. Van Nostrand New York, 1960. Zbl 0095.12201, MR 0123342 |
| . |
