On the modulus of C. J. Read's operator
Functional Analysis
2007-05-23 v1
Abstract
Let T be the quasinilpotent operator on ell_1 without an invariant subspace constructed by C. J. Read in [R3]. We prove that the modulus of this operator has an invariant subspace (and even an eigenvector). This answers a question posed by Y. Abramovich, C. Aliprantis and O. Burkinshaw in [AAB1,AAB3]
Keywords
Cite
@article{arxiv.math/9805124,
title = {On the modulus of C. J. Read's operator},
author = {Vladimir G. Troitsky},
journal= {arXiv preprint arXiv:math/9805124},
year = {2007}
}
Comments
8 pages, LaTeX2e, to appear in Positivity