Pn. Dowling et N. Randrianantoanina, Spaces of compact operators on a Hilbert space with the fixed point property, J FUNCT ANA, 168(1), 1999, pp. 111-120
Every non-reflexive subspace of K(H), the space of compact operators on a H
ilbert space H, contains an asymptotically isometric copy of c(0). This, al
ong with a result of Besbes, shows that a subspace of K(H) has the fixed po
int property if and only if it is reflexive. (C) 1999 Academic Press.