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...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Seifert, D
Aineistotyyppi: Journal article
Julkaistu: Hebrew University Magnes Press 2016