Some permanence results of properties of Banach spaces

 Access to full text

 Full (PDF)

 Access to full text

1. Diestel J., A survey of results related to Dunford-Pettis property, Contemp. Math., vol 2, Amer. Math. Soc., Providence, R.I., 1980, pp.15-60. MR0621850
2. Diestel J., Sequences and Series in Banach Spaces, Graduate Texts in Math. 92, Springer, New York, 1984. MR0737004
3. Diestel J., Morrison T.J., The Radon-Nikodym Property for the space of operators, Math. Nachr. 92 (1979), 7-12. (1979) Zbl0444.46021MR0563569
4. Emmanuele G., The (BD) property in $L^1(\mu ,E)$, Indiana Univ. Math. J. 36.1 (1987), 229-230. (1987) MR0877000
5. Emmanuele G., On the Banach spaces with the Property $\left(V^{*}\right)$ of Pelczynski, II, Ann. Mat. Pura Appl. 160 (1991), 163-170. (1991) Zbl0759.46018MR1163206
6. Emmanuele G., Some more Banach spaces with the (NRNP), Le Matematiche (Catania) 48 (1993), 213-218. (1993) Zbl0828.46008MR1320664
7. Emmanuele G., Rao T.S.S.R.K., Spaces of Bochner integrable functions and spaces of representable operators as $𝒰$-ideals, Quart. J. Math. Oxford 48 (1997), 467-478. (1997) MR1604823
8. Freedman W., An Alternative Dunford-Pettis Property, Studia Math. 125 (1997), 143-159. (1997) Zbl0897.46009MR1455629
9. Godefroy G., Saab P., Quelques espaces de Banach ayant les propriétés $\left(V\right)$ ou $\left(V^{*}\right)$ de A. Pelcynski, C.R. Acad. Sci. Paris 303 (1986), 503-506. (1986) Zbl0602.46014MR0865871
10. Gonzalez M., Onieva V.M., Lifting results for sequences in Banach spaces, Math. Proc. Cambridge Phil. Soc. 105 (1989), 117-121. (1989) Zbl0633.46025MR0966145
11. Grothendieck A., Sur les applications faiblement compactes d’espaces du type $C\left(K\right)$, Canad. J. Math. 5 (1953), 129-173. (1953) MR0058866
12. Harmand P., Werner D., Werner W., M-ideals in Banach Spaces and Banach Algebras, Lectures Notes in Math. 1547, Springer, Berlin, 1993. Zbl0789.46011MR1238713
13. Kalton N.J., Pelczynski A., Kernels of surjections from ${ℒ}_1$-spaces with an application to Sidon sets, Math. Ann. 309 (1997), 135-158. (1997) Zbl0901.46008MR1467651
14. Kaufman R., Petrakis M., Riddle L.H., Uhl J.J., Nearly representable operators, Trans. Amer. Math. Soc. 312 (1989), 315-333. (1989) Zbl0673.47016MR0951887
15. Leung D.H., A Gelfand-Phillips Property with respect to the Weak Topology, Math. Nachr. 149 (1990), 177-181. (1990) Zbl0765.46007MR1124803
16. Li D., Lifting Properties for Some Quotients of $L^1$-Spaces and Other Spaces $L$-Summand in Their Bidual, Math. Z. 199 (1988), 321-329. (1988) MR0961814
17. Lohman R.H., A note on Banach spaces containing ${\ell }_1$, Canad. Math. Bull. 19 (1976), 365-367. (1976) Zbl0342.46006MR0430748
18. Megginson R.E., An introduction to Banach Space Theory, Graduate Texts in Mathematics, 183, Springer, New York, 1998. Zbl0910.46008MR1650235
19. Morrison T.J., Functional Analysis, An Introduction to Banach Space Theory, Wiley & Sons, New York, 2001. Zbl1005.46004MR1885114
20. Pelczynski A., Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Polish Acad. Sci. 10 (1962), 641-648. (1962) Zbl0107.32504MR0149295
21. Randrianantoanina N., Radon-Nikodym Properties for Spaces of Compact Operators, Rev. Roumanie Math. Pures Appl. 41 (1996), 119-131. (1996) Zbl0858.46018MR1404645
22. Talagrand M., Weakly Cauchy sequences in $L^1\left(E\right)$, Amer. J. Math. 106 (1984), 703-724. (1984) MR0745148
23. Talagrand M., Quand l'espace des mesures à variation bornée est-il faiblement séquentiellement complet?, Proc. Amer. Math. Soc. 90 (1984), 285-288. (1984) Zbl0534.46017MR0727251