Mathematics – Functional Analysis
Scientific paper
2009-10-22
Mathematics
Functional Analysis
32 pages
Scientific paper
We construct a weak Hilbert Banach space such that for every block subspace
$Y$ 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.
Argyros Spiros A.
Beanland Kevin
Raikoftsalis Theocharis
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