| Title:
|
On some subsets of $L_1(\mu,E)$ (English) |
| Author:
|
Bombal, Fernando |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
170-179 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B20 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0799.46023 |
| idMR:
|
MR1087638 |
| DOI:
|
10.21136/CMJ.1991.102448 |
| . |
| Date available:
|
2008-06-09T15:37:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102448 |
| . |
| Reference:
|
[1] K. T. Andrews: Dunford-Pettis sets in the space of Bochner integrable functions.Math. Ann., (1979), 35-41. Zbl 0398.46025, MR 0531148 |
| Reference:
|
[2] F. Bombal: On $l\sb 1$ subspaces of Orlicz vector-valued function spaces.Math. Proc. Cambr. Phil. Soc., 101 (1987) 107-112. MR 0877704, 10.1017/S0305004100066445 |
| Reference:
|
[3] F. Bombal: On (V*) sets and Pelczynski's property (V*).Glasgow Math. J. 32 (1990), 109-120. MR 1045091, 10.1017/S0017089500009113 |
| Reference:
|
[4] F. Bombal: Sobre algunas propiedades de Espacio de Banach.To appear in Rev. Acad. Ci. Madrid. |
| Reference:
|
[5] F. Bombal, P. Cembranos: Characterization of some classes of operators on spaces of vector valued continuous functions.Math. Proc. Cambr. Phil. Soc., 97 (1985), 137-146. Zbl 0564.47013, MR 0764502, 10.1017/S0305004100062678 |
| Reference:
|
[6] F. Bombal, C. Fierro: Compacidad débil en espacios de Orlicz de funciones vectoriales.Rev. Acad. Ci. Madrid, 78 (1984), 157-163. MR 0799701 |
| Reference:
|
[7] J. Bourgain, J. Diestel: Limited operators and strict cosingularity.Math. Nachr. 119 (1984), 55-58. Zbl 0601.47019, MR 0774176, 10.1002/mana.19841190105 |
| Reference:
|
[8] J. Bourgain: An averaging result for $l\sb 1$-sequences and applications to weakly conditionally compact sets in $L\sp{1}\sb{X}$.Israel J. of Math., vol. 32 (1979), 289-298. MR 0571083, 10.1007/BF02760458 |
| Reference:
|
[9] J. Bourgain: On the Dunford-Pettis Property.Proc. of the Amer. Math. Soc., 81 (1981), 265-272. Zbl 0463.46027, MR 0593470, 10.1090/S0002-9939-1981-0593470-8 |
| Reference:
|
[10] J. Diestel: Sequences and series in Banach spaces.Graduate texts in Math., no. 92. Springer, 1984. MR 0737004 |
| Reference:
|
[11] J. Diestel, J. J. Uhl, Jr.: Vector measures.Amer. Math. Soc. Mathematical Surveys, Vol. 15. Providence, R.I., 1977. Zbl 0369.46039, MR 0453964 |
| Reference:
|
[12] C. Fierro: Compacidad débil en espacios de funciones y medidas vectoriales.Thesis. Madrid, 1980. |
| Reference:
|
[13] A. Grothendieck: Sur les applications linéaires faiblement compacts d'espaces du type C(K).Canad. J. of math., 5 (1953), 129-173. MR 0058866, 10.4153/CJM-1953-017-4 |
| Reference:
|
[14] N. Ghoussoub, P. Saab: Weak compactness in spaces of Bochner integrable functions and the Radon-Nikodym property.Pacific J. of Math., 110 (1984), 65-70. Zbl 0477.46041, MR 0722738, 10.2140/pjm.1984.110.65 |
| Reference:
|
[15] G. Emmanuele: On the Banach spaces with the property (V*) of Pelczynski.Annali Mat. Pura e Applicata, 152 (1988), 171-181. MR 0980978 |
| Reference:
|
[16] A. Pelczynski: On Banach spaces on which every unconditionally converging operator is weakly compact.Bull. Acad. Pol. Sci., 10 (1962), 641-648. MR 0149295 |
| Reference:
|
[17] G. Pisier: Une propriété de stabilité de la classe des espaces ne contenant pas $l^1$.C. R. Acad. Sci. Paris Ser. A 286 (1978), 747-749. MR 0511805 |
| Reference:
|
[18] E. Saab, P. Saab: On Pelczynski's property (V) and (V*).Pacific J. Math., 125 (1986), 205-210. MR 0840703 |
| Reference:
|
[19] M. Talagrand: La propriété de Dunford-Pettis dans C(K, E) et $L\sp{1}(E)$.Israel J. of Math., 44 (1983), 317-321. Zbl 0523.46015, MR 0710236, 10.1007/BF02761990 |
| Reference:
|
[20] M. Talagrand: Weak Cauchy sequences in $L\sp{1}(E)$.Amer. J. of Math., (1984), 703-724. Zbl 0579.46025, MR 0745148, 10.2307/2374292 |
| . |
