On the position of the space of representable operators in the space of linear operators$^1$
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 255-262.

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We show results about the existence and the nonexistence of a projection from the space $L(L^1(\lambda),X)$ of all linear and bounded operators from $L^1(\lambda)$ into $X$ onto the subspace $R(L^1(\lambda),X)$ of all representable operators.
Classification : 46B25, 46B28, 46E40, 46G10, 47B99, 47D15, 47L20
Keywords: representable operators; vector measures; L-projec\-tions; copies of $c_0$
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     title = {On the position of the space of representable operators in the space of linear operators$^1$},
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Emmanuele, G. On the position of the space of representable operators in the space of linear operators$^1$. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 255-262. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a5/