On discrete subordination of power bounded and Ritt operators
Functional Analysis
2016-09-26 v2 Probability
Abstract
By means of a new technique, we develop further a discrete subordination approach to the functional calculus of power bounded and Ritt operators initiated by N. Dungey in [19]. This allows us to show, in particular, that (infinite) convex combinations of powers of Ritt operators are Ritt. Moreover, we provide a unified framework for several main results on discrete subordination from [19] and answer a question left open in [19]. The paper can be considered as a complement to [26] for the discrete setting.
Keywords
Cite
@article{arxiv.1504.00563,
title = {On discrete subordination of power bounded and Ritt operators},
author = {Alexander Gomilko and Yuri Tomilov},
journal= {arXiv preprint arXiv:1504.00563},
year = {2016}
}
Comments
This is the authors accepted manuscript for a paper being published in Indiana Univ. Math. J