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arXiv · 0910.4401

A weak Hilbert space with few symmetries

Spiros A. Argyros·Kevin Beanland·Theocharis Raikoftsalis
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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.

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Spiros A. Argyros, Kevin Beanland, Theocharis Raikoftsalis. 2009-10-22. A weak Hilbert space with few symmetries. https://arxiv.org/abs/0910.4401

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