Rates of decay in the classical Katznelson-Tzafriri theorem

Rates of decay in the classical Katznelson-Tzafriri theorem

The Katznelson-Tzafriri Theorem states that, given a powerbounded operator T , T n(I − T ) → 0 as n → ∞ if and only if the spectrum σ(T ) of T intersects the unit circle T in at most the point 1. This paper investigates the rate at which decay takes place when σ(T ) ∩ T = {1}. The results obtained l...

Полное описание

Библиографические подробности
Главный автор:	Seifert, D
Формат:	Journal article
Опубликовано:	Hebrew University Magnes Press 2016

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