G. Emmanuele
On the position of the space of representable operators in the space of linear operators

Abstract: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.

Keywords: representable operators, vector measures, L-projections, copies of $c_0$
AMS Subject Classification: 46B28, 46G10, 47B99, 46B25

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