On the position of the space of representable operators in the space of linear operators${}^1$

 Access to full text

 Full (PDF)

 Access to full text

1. Aliprantis C.D., Burkinshaw O., Positive Operators, Academic Press, 1985. Zbl1098.47001MR0809372
2. Arterburn D., Whitley R., Projections in the space of bounded linear operators, Pacific J. Math. 15 (1965), 739-746. (1965) Zbl0138.38602MR0187052
3. Bonet J., Domański P., Lindström M., Ramanujan M.S., Operator spaces containing $c_0$ or $l^{\infty }$, Pacific J. Math., to appear. 
4. Calabró A., Cilia R., Some observations about the uncomplementability of the space $K(X,Y)$ into the space $DP(X,Y)$, Boll. Un. Mat. It. 7 (1993), 201-213. (1993) Zbl0854.46017MR1216716
5. Caselles V., A characterization of weakly sequentially complete Banach lattices, Math. Z. 190 (1985), 379-385. (1985) Zbl0587.46019MR0806896
6. Diaz S., Complemented copies of $c_0$ in $L^{\infty }(\mu ,E)$, Proc. Amer. Math. Soc., to appear. MR1189744
7. Diestel J., Uhl J.J., Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., 1977. Zbl0521.46035MR0453964
8. Domanski P., Drewnowski L., Injectivity of spaces of operators, preprint, 1992. MR1170555
9. Drewnowski L., Emmanuele G., The problem of the complementability between some spaces of vector measures of bounded variation with values in Banach spaces containing copies of $c_0$, Studia Math. 104 (2) (1993), 111-123. (1993) MR1211812
10. Emmanuele G., On Banach spaces containing complemented copies of $c_0$, Extracta Math. 3 (1988), 98-100. (1988) 
11. Emmanuele G., Remarks on the uncomplemented subspace $W(E,F)$, J. Funct. Anal. 99 (1991), 125-130. (1991) Zbl0769.46006MR1120917
12. Emmanuele G., A remark on the containment of $c_0$ in spaces of compact operators, Math. Proc. Cambridge Phil. Soc. 111 (1992), 331-335. (1992) MR1142753
13. Emmanuele G., On complemented copies of $c_0$ in spaces of operators, Comment. Math. 32 (1992), 29-32. (1992) MR1202755
14. Emmanuele G., About the position of $K_{w^{*}}(E^{*},F)$ inside $L_{w^{*}}(E^{*},F)$, Atti Seminario Matematico Fisico Modena 42 (1994), 123-134. (1994) MR1282327
15. Emmanuele G., Answer to a question by M. Feder about $K(X,Y)$, Revista Mat. Univ. Complutense de Madrid 6 (1993), 263-266. (1993) Zbl0813.46013MR1269756
16. Emmanuele G., Remarks on the complementability of spaces of Bochner integrable functions in spaces of vector measures, Comment. Math. Univ. Carolinae 37.2 (1996), 217-228. (1996) Zbl0855.46006MR1398997
17. Emmanuele G., John K., Uncomplementability of spaces of compact operators in larger spaces of operators, Czechoslovak J. Math., to appear. Zbl0903.46006MR1435603
18. Fakhouri H., Représentations d’opérateurs à valeurs dans $L^1(X,\Sigma ,\mu )$, Math. Annalen 240 (1979), 203-212. (1979) MR0526843
19. Feder M., Subspaces of spaces with an unconditional basis and spaces of operators, Illinois J. Math. 24 (1980), 196-205. (1980) Zbl0411.46009MR0575060
20. Feder M., On the nonexistence of a projection onto the space of compact operators, Canad. Math. Bull. 25 (1982), 78-81. (1982) MR0657655
21. Freniche F., Rodriguez-Piazza L., Linear projections from a space of measures onto its Bochner integrable function subspace, unpublished preprint, 1993. 
22. Harmand P., Werner D., Werner W., M-ideals in Banach spaces and Banach algebras, LNM 1547, Springer Verlag, 1993. Zbl0789.46011MR1238713
23. John K., On the uncomplemented subspace $K(X,Y)$, Czechoslovak Math. J. 42 (1992), 167-173. (1992) Zbl0776.46016MR1152178
24. Johnson J., Remarks on Banach spaces of compact operators, J. Funct. Analysis 32 (1979), 304-311. (1979) Zbl0412.47024MR0538857
25. Kalton N.J., Spaces of compact operators, Math. Annalen 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154
26. Kuo T., Projections in the spaces of bounded linear operators, Pacific J. Math. 52 (1974), 475-480. (1974) Zbl0287.47030MR0352939
27. Meyer-Nieberg P., Banach Lattices, Springer Verlag, 1991. Zbl0743.46015MR1128093
28. Rao T.S.S.R.K., $L^1(\mu ,X)$ as a complemented subspace of its bidual, preprint, 1993. 
29. Schlumprecht T., Limited sets in Banach spaces, Ph.D. Dissertation, München, 1987. Zbl0689.46005
30. Thorp E.O., Projection onto the subspace of compact operators, Pacific J. Math. 10 (1960), 693-696. (1960) MR0114128
31. Tong A.E., On the existence of a noncompact bounded linear operator between certain Banach spaces, Israel J. Math. 10 (1971), 451-456. (1971) MR0296663
32. Tong A., Wilken D.R., The uncomplemented subspace $K(E,F)$, Studia Math. 37 (1971), 227-236. (1971) Zbl0212.46302MR0300058