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.
@article{118923, author = {Giovanni Emmanuele}, title = {On the position of the space of representable operators in the space of linear operators$^1$}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {38}, year = {1997}, pages = {255-262}, zbl = {0886.47025}, mrnumber = {1455492}, language = {en}, url = {http://dml.mathdoc.fr/item/118923} }
Emmanuele, Giovanni. On the position of the space of representable operators in the space of linear operators$^1$. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 255-262. http://gdmltest.u-ga.fr/item/118923/
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