Position of $L(X,Y)$ in $Li{p}_0(X,Y)$

Anil Kumar Karn, Arindam Mandal

We prove that $L(X,Y)$ is complemented in $Li{p}_0(X,Y)$ (via a norm-one projection) provided that $Y$ is a dual space. Next, we introduce a vector-valued Lipschitz-free space $F_Y(…