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...
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Format: | Journal article |
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Hebrew University Magnes Press
2016
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