On complemented copies of in spaces of operators, II
Commentationes Mathematicae Universitatis Carolinae (1994)
- Volume: 35, Issue: 2, page 259-261
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topEmmanuele, Giovanni. "On complemented copies of $c_0$ in spaces of operators, II." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 259-261. <http://eudml.org/doc/247620>.
@article{Emmanuele1994,
abstract = {We show that as soon as $c_0$ embeds complementably into the space of all weakly compact operators from $X$ to $Y$, then it must live either in $X^\ast $ or in $Y$.},
author = {Emmanuele, Giovanni},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {spaces of weakly compact operators; complemented copies of $c_0$; complemented copies of ; space of all weakly compact operators},
language = {eng},
number = {2},
pages = {259-261},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On complemented copies of $c_0$ in spaces of operators, II},
url = {http://eudml.org/doc/247620},
volume = {35},
year = {1994},
}
TY - JOUR
AU - Emmanuele, Giovanni
TI - On complemented copies of $c_0$ in spaces of operators, II
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 259
EP - 261
AB - We show that as soon as $c_0$ embeds complementably into the space of all weakly compact operators from $X$ to $Y$, then it must live either in $X^\ast $ or in $Y$.
LA - eng
KW - spaces of weakly compact operators; complemented copies of $c_0$; complemented copies of ; space of all weakly compact operators
UR - http://eudml.org/doc/247620
ER -
References
top- Bessaga C., Pelczynski A, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164. (1958) Zbl0084.09805MR0115069
- Diestel J., Sequences and Series in Banach Spaces, Graduate Text in Mathematics 97, Springer Verlag 1984. MR0737004
- Emmanuele G., Dominated operators on and the , Collect. Math. 41 (1990), 21-25. (1990) Zbl0752.47006MR1134442
- Emmanuele G., Remarks on the uncomplemented subspace , J. Funct. Analysis 99 (1991), 125-130. (1991) Zbl0769.46006MR1120917
- Emmanuele G., On the containment of by spaces of compact operators, Bull. Sci. Math. 115 (1991), 177-184. (1991) MR1101022
- Emmanuele G., A remark on the containment of in spaces of compact operators, Math. Proc. Cambridge Phil. Soc. 111 (1992), 331-335. (1992) MR1142753
- Emmanuele G., On complemented copies of in spaces of operators, Comm. Math. 32 (1992), 29-32. (1992) MR1202755
- Emmanuele G., About the position of in , Atti Sem. Mat. Fisico Univ. Modena, to appear. MR1282327
- Emmanuele G., John K., Uncomplementability of spaces of compact operators in larger spaces of operators, to appear. Zbl0903.46006MR1435603
- Feder M., On subspaces of spaces with an unconditional basis and spaces of operators, Illinois J. Math. 34 (1980), 196-205. (1980) Zbl0411.46009MR0575060
- Holub J.R., Tensor product bases and tensor diagonals, Trans. Amer. Math. Soc. 151 (1970), 563-579. (1970) Zbl0216.16203MR0279564
- Kalton N.J., Spaces of compact operators, Math. Annalen 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.