Geodesic
On Dunford-Pettis Operators
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 207-209

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a complemented subspace of a Banach lattice E. It is shown that if every Dunford-Pettis operator from L 1[0,1] into X is Pettis-representable then X has the Radon-Nikodym property.
DOI : 10.4153/CMB-1982-028-8
Mots-clés : 46G10, 46B22, Dunford-Pettis operators, Radon-Nikodym property 
Saab, Elias. On Dunford-Pettis Operators. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 207-209. doi: 10.4153/CMB-1982-028-8
@article{10_4153_CMB_1982_028_8,
     author = {Saab, Elias},
     title = {On {Dunford-Pettis} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {207--209},
     year = {1982},
     volume = {25},
     number = {2},
     doi = {10.4153/CMB-1982-028-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-028-8/}
}
TY  - JOUR
AU  - Saab, Elias
TI  - On Dunford-Pettis Operators
JO  - Canadian mathematical bulletin
PY  - 1982
SP  - 207
EP  - 209
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-028-8/
DO  - 10.4153/CMB-1982-028-8
ID  - 10_4153_CMB_1982_028_8
ER  - 
%0 Journal Article
%A Saab, Elias
%T On Dunford-Pettis Operators
%J Canadian mathematical bulletin
%D 1982
%P 207-209
%V 25
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-028-8/
%R 10.4153/CMB-1982-028-8
%F 10_4153_CMB_1982_028_8

[1] 1. Bourgain, J., Dunford-Pettis Operators and the Radon-Nikodym property, (preprint). Google Scholar

[2] 2. Diestel, J. and Uhl, J. J. Jr., Vector measures, Mathematical Survey No. 15, American Mathematical Society, Providence, 1977. Google Scholar

[3] 3. Fremlin, D. H., Pointwise compact subsets of measurable functions, Manuscripts Math. 15, 219-242 (1975). Google Scholar

[4] 4. Ghoussoub, N. and Saab, E., On the weak Radon-Nikodym property, Proc. Amer. Math. Soc. 81 (1981), 81-84. Google Scholar

[5] 5. Janicka, L., Wlasnosci Typu Radona-Nikodyma dla Przestrzeni Banacha, Thesis, 1978, Wroclaw. Google Scholar

[6] 6. Lindenstrauss, J. and Tzafriri, L., Classical Banach spaces II, Springer-Verlag (1979). Google Scholar

[7] 7. Sierpinski, W., Fonctions additives non completement additives et fonctions non mesurables. Fund. Math. 30 (96-99) 1938. Google Scholar

Cité par Sources :