On complemented copies of $c_0$ in spaces of operators, II
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 259-261
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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 $Y$.
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 $Y$.
Classification :
46A32, 46B20, 46B25, 46B28, 47D15
Keywords: spaces of weakly compact operators; complemented copies of $c_0$
Keywords: spaces of weakly compact operators; complemented copies of $c_0$
@article{CMUC_1994_35_2_a5,
author = {Emmanuele, Giovanni},
title = {On complemented copies of $c_0$ in spaces of operators, {II}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {259--261},
year = {1994},
volume = {35},
number = {2},
mrnumber = {1286572},
zbl = {0862.46010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a5/}
}
Emmanuele, Giovanni. On complemented copies of $c_0$ in spaces of operators, II. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 259-261. http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a5/