| Title:
|
Integrability for the Dobrakov integral (English) |
| Author:
|
Swartz, Charles |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
640-646 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B05 |
| MSC:
|
28C05 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 0506.28005 |
| idMR:
|
MR592327 |
| DOI:
|
10.21136/CMJ.1980.101712 |
| . |
| Date available:
|
2008-06-09T14:41:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101712 |
| . |
| Reference:
|
[1] R. Bartle 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] J. K. Brooks: On the Gelfand-Pettis integral and unconditionally convergent series.Bull. Polish. Acad. Sci. 17 (1969), 809-813. Zbl 0205.13402, MR 0264025 |
| Reference:
|
[3] J. K. Brooks: Representation of weak and strong integrals in Banach spaces.Proc. Nat. Acad. Sci. U.S.A. 63 (1969), 266-270. MR 0274697, 10.1073/pnas.63.2.266 |
| Reference:
|
[4] S. D. Chatterji: Sur l'integrabilité de Pettis.Math. Zeit., 136 (1974), 53-58. Zbl 0264.28007, MR 0343023, 10.1007/BF01189256 |
| Reference:
|
[5] J. Diestel, J. J. Uhl: Vector measures.Amer. Math. Soc., Math. Surveys *15, 1977. Zbl 0369.46039, MR 0453964 |
| Reference:
|
[6] I. Dobrakov: On representation of linear operators on $C_0 (T, X)$.Czech. Math. J., 21 (1971), 13-30. MR 0276804 |
| Reference:
|
[7] I. Dobrakov: On integration in Banach spaces I.Czech. Math. J., 20 (1970), 511-536. Zbl 0215.20103, MR 0365138 |
| Reference:
|
[8] I. Dobrakov: On integration in Banach spaces II.Czech. Math. J., 20 (1970), 680-695. Zbl 0224.46050, MR 0365139 |
| Reference:
|
[9] N. Dunford, J. Schwartz: Linear operators.Interscience, N.Y., 1958. Zbl 0084.10402 |
| Reference:
|
[10] H. Garnir M. de Wilde, J. Schmets: Analyse Fonctionelle II.Birkhäuser Verlag, 1972. |
| Reference:
|
[11] D. Lewis: Integration with respect to vector measures.Pacific J. Math., 33 (1970), 157-165. Zbl 0195.14303, MR 0259064, 10.2140/pjm.1970.33.157 |
| Reference:
|
[12] D. Lewis: On integrability and summability in vector spaces.Illinois J. Math., 16 (1972), 294-307. Zbl 0242.28008, MR 0291409, 10.1215/ijm/1256052286 |
| Reference:
|
[13] C. Swartz: Integration with respect to vector measures.Bull. Royal Soc. Liège, 45 (1976), 76-79. Zbl 0328.46040, MR 0427584 |
| . |
