37 research outputs found
A weak Hilbert space with few symmetries
We construct a weak Hilbert Banach space such that for every block subspace
every bounded linear operator on Y is of the form D+S where S is a strictly
singular operator and D is a diagonal operator. We show that this yields a weak
Hilbert space whose block subspaces are not isomorphic to any of their proper
subspaces.Comment: 32 page