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On quasi-affine transforms of Read's operator

Thomas Schlumprecht·Vladimir G. Troitsky
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Abstract

We show that C.J.Read's example of an operator T on l_1 which does not have any non-trivial invariant subspaces is not the adjoint of an operator on a predual of l_1. Furthermore, we present a bounded diagonal operator D such that even though its inverse is unbounded, but D^{-1}TD is a bounded operator with invariant subspaces, and is adjoint to an operator on c_0.

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Thomas Schlumprecht, Vladimir G. Troitsky. 2001-12-02. On quasi-affine transforms of Read's operator. https://arxiv.org/abs/math/0112010

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