| Title:
|
Barrelledness of the space of Dobrakov integrable functions (English) |
| Author:
|
Swartz, Charles |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2001 |
| Pages:
|
521-528 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B05 |
| idZBL:
|
Zbl 1006.28007 |
| idMR:
|
MR1899273 |
| . |
| Date available:
|
2009-09-25T14:04:24Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131402 |
| . |
| Reference:
|
[DU] DIESTEL J.-UHL J.: Vector Measures.Amer. Math. Soc, Providence, RI, 1977. Zbl 0369.46039, MR 0453964 |
| Reference:
|
[D1] DOBRAKOV I.: On integration in Banach spaces I.Czechoslovak Math. J. 20 (1970), 511-536. Zbl 0215.20103, MR 0365138 |
| Reference:
|
[D2] DOBRAKOV I.: On integration in Banach spaces II.Czechoslovak Math. J. 20 (1970), 680-695. Zbl 0224.46050, MR 0365139 |
| Reference:
|
[DFP1] DREWNOWSKI L.-FLORENCIO M.-PAÚL P.: The space of Pettis integrable functions is barrelled.Proc. Amer. Math. Soc. 114 (1994), 687-694. MR 1107271 |
| Reference:
|
[DPF2] DREWNOWSKI L.-FLORENCIO M.-PAÚL P.: Uniform boundedness of operators and barrelledness in spaces with Boolean algebras of projections.Atti. Sem. Mat. Fis. Univ. Modena 41 (1993), 317-329. Zbl 0849.46002, MR 1248001 |
| Reference:
|
[DS] DUNFORD N.-SCHWARTZ, J,: Linear Operators I.Wiley, New York, 1958. Zbl 0084.10402 |
| Reference:
|
[LS] LEE PENG YEE-SWARTZ, C : Continuity of superposition operators on sequence spaces.New Zealand J. Math. 24 (1995), 41-52. MR 1348052 |
| Reference:
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[Pe] PETTIS B. J.: Integration in vector spaces.Trans. Amer. Math. Soc. 44 (1938), 277-304. Zbl 0019.41603, MR 1501970 |
| Reference:
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[RR] RAO K. P. S.- RAO M.: Theory of Charges.Academic Press, New York, 1983. MR 0751777 |
| Reference:
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[Sw1] SWARTZ C.: Weak sequential completeness of sequence spaces.Collcct. Math. 43 (1992), 55-61. Zbl 0782.46013, MR 1214223 |
| Reference:
|
[Sw2] SWARTZ C.: An abstract uniform boundedness result.Math. Slovaca 49 (1999), 63-69. MR 1804474 |
| Reference:
|
[SwЗ] SWARTZ C.: Infinite Matrices and the Gliding Hump.World Sci. Publ., Singapore, 1996. Zbl 0923.46003, MR 1423136 |
| Reference:
|
[Th] THOMAS E.: Totally summable functions with values in locally convex spaces.In: Lecture Notеs in Math. 541, Springеr-Vеrlag, Hеidеlbеrg, 1976, pp. 117-131. Zbl 0357.46050, MR 0450505 |
| Reference:
|
[Wi] WILANSKY A.: Modern Methods in Topological Vector Spaces.McGraw-Hill, New York, 1978. Zbl 0395.46001, MR 0518316 |
| . |
