Title:
|
On the uncomplemented subspace $K(X,Y)$ (English) |
Author:
|
John, Kamil |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
42 |
Issue:
|
1 |
Year:
|
1992 |
Pages:
|
167-173 |
. |
Category:
|
math |
. |
MSC:
|
46B28 |
MSC:
|
47B07 |
MSC:
|
47D15 |
MSC:
|
47L05 |
idZBL:
|
Zbl 0776.46016 |
idMR:
|
MR1152178 |
DOI:
|
10.21136/CMJ.1992.128319 |
. |
Date available:
|
2009-09-24T09:18:08Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128319 |
. |
Reference:
|
[1] D. Arterburn, R. Whitney: Projections in the space of bounded linenar operators.Pacific J. Math. 15 (1965), 739–746. MR 0187052, 10.2140/pjm.1965.15.739 |
Reference:
|
[2] C. Bessaga, A. Pelczynski: On bases and unconditional convergence of series in Banach spaces.Studia Math. 17 (1958), 151–164. MR 0115069, 10.4064/sm-17-2-151-164 |
Reference:
|
[3] J. Diestel, T. J. Morrison: The Radon-Nikodym property for the space of operators.Math. Nachrichten 92 (1979), 7–12. MR 0563569, 10.1002/mana.19790920102 |
Reference:
|
[4] J. Diestel: Sequences and series in Banach spaces.Graduate Texts in Mathematics 92, Springer, 1984. MR 0737004 |
Reference:
|
[5] L. Drewnowski: An extension of a theorem of Rosenthal on operators acting from $l_\infty (M)$.Studia Math. 57 (1976), 209–215. MR 0423116, 10.4064/sm-57-3-209-215 |
Reference:
|
[6] G. Emmanuele: On the containment of $c_0$ by spaces of compact operators.Bull. sci. mat. 115 (1991), 177–184. MR 1101022 |
Reference:
|
[7] M. Feder: On subspaces of spaces with an unconditional basis and spaces of operators.Illinois J. Math. 24 (1980), 196–205. Zbl 0411.46009, MR 0575060, 10.1215/ijm/1256047715 |
Reference:
|
[8] K. John: On the space $K(P,P^*)$ of compact operators on Pisier space $P$.submitted for publ. |
Reference:
|
[9] J. Johnson: Remarks on Banach spaces of compact operators.J. funct. anal. 32 (1979), 304–311. Zbl 0412.47024, MR 0538857, 10.1016/0022-1236(79)90042-9 |
Reference:
|
[10] N. J. Kalton: Exhaustive operators and vector measures.Proc. Edinburgh, Math. Soc. 19 (1974), 291–300. MR 0388099 |
Reference:
|
[11] N. J. Kalton: Spaces of compact operators.Math. Ann. 208 (1974), 267–278. Zbl 0266.47038, MR 0341154, 10.1007/BF01432152 |
Reference:
|
[12] P. Kissel, E. Schock: Lucid operators on Banach spaces.Comment. Math. Univ. Carolinae 31 (1990), 489–499. MR 1078483 |
Reference:
|
[13] T. H. Kuo: Projections in the space of bounded linear operators.Pacific J. Math. 52 (1974), 475–480. MR 0352939, 10.2140/pjm.1974.52.475 |
Reference:
|
[14] J. Pisier: Counterexamples to a conjecture of Grothendieck.Acta Math. 151 (1983), 180–208. Zbl 0542.46038, MR 0723009, 10.1007/BF02393206 |
Reference:
|
[15] H. P. Rosenthal: On relatively disjoint families of measures, with some applications to Banach space theory.Studia Math. 37 (1970), 13–36. Zbl 0227.46027, MR 0270122, 10.4064/sm-37-1-13-36 |
Reference:
|
[16] W. Ruess: Duality and geometry of spaces of compact operators..Functional Analysis: Surveys and Recent Results III, North Holland, Amsterdam, 1984 (Mathematics Studies, 90), pp. 59–78. MR 0761373 |
Reference:
|
[17] E. Thorp: Projections onto the space of compact operators.Pacific J. Math. 10 (1960), 693–696. MR 0114128, 10.2140/pjm.1960.10.693 |
Reference:
|
[18] A. E. Tong: On the existence of non-compact bounded linear operators between certain Banach spaces.Israel J. Math. 10 (1971), 451–456. MR 0296663, 10.1007/BF02771732 |
Reference:
|
[19] A. E. Tong, D. R. Wilken: The uncomplemented subspace $K(E,F)$.Studia Math. 37 (1971), 227–236. MR 0300058, 10.4064/sm-37-3-227-236 |
Reference:
|
[20] H. O. Tylli: Weak compactness of multiplication operators on spaces of bounded linear operators.(preprint). Zbl 0760.47019 |
. |