This paper is a survey article on developments arising from a theorem proved by Katznelson and Tzafriri in 1986 showing that lim→∞||(−)||=0limn→∞||Tn(I−T)||=0 if T is a power-bounded operator on a Banach space and σ()∩⊆{1}σ(T)∩T⊆{1}. Many variations and consequences of the original theorem have been proved subsequently, and we provide an account of this branch of operator theory
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
Let T be a power-bounded operator on a Banach space X, A be a Banach algebra of bounded holomorphic ...
Let $T$ be a power-bounded operator on a Banach space $X$, $\mathcal{A}$ be a Banach algebra of boun...
The Katznelson-Tzafriri Theorem states that, given a powerbounded operator T , T n(I − T ) → 0 as n ...
This thesis is concerned with extensions and refinements of the Katznelson-Tzafriri theorem, a corne...
This thesis is concerned with extensions and refinements of the Katznelson-Tzafriri theorem, a corne...
We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-b...
We consider whether L = limsup n→ ∞ n�T n+1 − T n � < ∞ implies that the operator T is power boun...
Let T be a positive power-bounded operator on a Banach lattice. We prove: (i) If $inf_n ||T^n(I-T)|...
We prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri type for power-bo...
AbstractLet A ∈ L (E) be a contraction. The famous Katznelson-Tzafriri theorem [11, Theorem 1] state...
This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson...
AbstractLet A ∈ L (E) be a contraction. The famous Katznelson-Tzafriri theorem [11, Theorem 1] state...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
Let T be a power-bounded operator on a Banach space X, A be a Banach algebra of bounded holomorphic ...
Let $T$ be a power-bounded operator on a Banach space $X$, $\mathcal{A}$ be a Banach algebra of boun...
The Katznelson-Tzafriri Theorem states that, given a powerbounded operator T , T n(I − T ) → 0 as n ...
This thesis is concerned with extensions and refinements of the Katznelson-Tzafriri theorem, a corne...
This thesis is concerned with extensions and refinements of the Katznelson-Tzafriri theorem, a corne...
We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-b...
We consider whether L = limsup n→ ∞ n�T n+1 − T n � < ∞ implies that the operator T is power boun...
Let T be a positive power-bounded operator on a Banach lattice. We prove: (i) If $inf_n ||T^n(I-T)|...
We prove a continuous-parameter version of the recent theorem of Katznelson�Tza�ri type for power-bo...
AbstractLet A ∈ L (E) be a contraction. The famous Katznelson-Tzafriri theorem [11, Theorem 1] state...
This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson...
AbstractLet A ∈ L (E) be a contraction. The famous Katznelson-Tzafriri theorem [11, Theorem 1] state...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...