This is an announcement for the paper "A weak Hilbert space with few symmetries" by Spiros A. Argyros, Kevin Beanland, and Theocharis Raikoftsalis.

Abstract: 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.

Archive classification: math.FA

Remarks: 32 pages

The source file(s), WeakHilbert.tex: 88673 bytes, is(are) stored in gzipped form as 0910.4401.gz with size 26kb. The corresponding postcript file has gzipped size 157kb.

Submitted from: kbeanland@gmail.com

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