The Embeddability of $c_0$ in Spaces of Operators
Volume 56 / 2008
Bulletin Polish Acad. Sci. Math. 56 (2008), 239-256
MSC: 46B20, 46B28.
DOI: 10.4064/ba56-3-7
Abstract
Results of Emmanuele and Drewnowski are used to study the containment of $c_0$ in the space $K_{w^*}(X^*,Y)$, as well as the complementation of the space $K_{w^*}(X^*,Y)$ of $w^*$-$w$ compact operators in the space $L_{w^*}(X^*,Y)$ of $w^*$-$w$ operators from $X^*$ to $Y$.