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arXiv · 1504.00563

On discrete subordination of power bounded and Ritt operators

Alexander Gomilko·Yuri Tomilov
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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.

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Alexander Gomilko, Yuri Tomilov. 2015-04-02. On discrete subordination of power bounded and Ritt operators. https://arxiv.org/abs/1504.00563

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