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An extremely non-homogeneous weak Hilbert space
2012
Transactions of the American Mathematical Society
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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.
doi:10.1090/s0002-9947-2012-05592-9
fatcat:6vnj36pxbzhklgk3r6gcb4fz7e