On power bounded operators that are quasiaffine tranforms of singular unitaries
Functional Analysis
2018-04-13 v1
Abstract
In [9] a question is raised: if a power bounded operator is quasisimilar to a singular unitary operator, is it similar to this unitary operator? For polynomially bounded operators, a positive answer to this question is known [1], [13]. In this paper a positive answer is given in some particular cases, but in general an answer remains unknown.
Keywords
Cite
@article{arxiv.1804.04200,
title = {On power bounded operators that are quasiaffine tranforms of singular unitaries},
author = {Maria F. Gamal'},
journal= {arXiv preprint arXiv:1804.04200},
year = {2018}
}
Comments
Acta Sci. Math. (Szeged), 77(2011), 589-606. A misprint in the formulation of Theorem 2.5 is corrected