Canad. Math. Bull. 57(2014), 810-813
Printed: Dec 2014
We show that if $E$ is a separable reflexive space, and $L$ is a weak-star closed linear subspace of
$L(E)$ such that $L\cap K(E)$ is weak-star dense in $L$, then $L$ has a unique isometric predual. The proof relies on basic topological arguments.
46B20 - Geometry and structure of normed linear spaces
46B04 - Isometric theory of Banach spaces