On quasi-affine transforms of Read's operator
Functional Analysis
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0112010,
title = {On quasi-affine transforms of Read's operator},
author = {Thomas Schlumprecht and Vladimir G. Troitsky},
journal= {arXiv preprint arXiv:math/0112010},
year = {2007}
}
Comments
9 pages, submitted