Theorems of Katznelson-Tzafriri type for contractions

DOI10.1016/0022-1236(90)90014-CzbMath0723.47013MaRDI QIDQ756673

F. Zouakia, Elizabeth Strouse, Jean Esterle

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Functional calculus for linear operators (47A60) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Some developments around the Katznelson–Tzafriri theorem, Dissipative operators on Banach spaces, A Katznelson–Tzafriri type theorem for Cesàro bounded operators, Closed ideals of the algebra of absolutely convergent Taylor series, On contractions with spectrum contained in the Cantor set, The behavior of iterates of multipliers in commutative Banach algebras, Intertwining conditions for two isometries on Banach spaces, A Banach algebra structure on the $q$-Bergman space and related topics, Contractions with countable spectra and unicity properties of closed countable sets of the circle, Asymptotic behavior of polynomially bounded operators, Some results of Katznelson-Tzafriri type, Similarité entre l'algèbre de Volterra et un quotient d'algèbre uniforme, The Banach algebra generated by a contraction, Asymptotic behavior of individual orbits of discrete systems, A Katznelson–Tzafriri type theorem in Hilbert spaces, On the asymptotic behaviour of Volterra difference equations, Strong stability of bounded evolution families and semigroups, Some improvements of the Katznelson- Tzafriri theorem on Hilbert space, A Katznelson-Tzafriri type theorem for almost periodic linear evolution equations, A century of complex Tauberian theory

Cites Work

• On power bounded operators
• Translates of functions of two variables
• Closed ideals in convolution algebras and the Laplace transform
• Sur les algèbres de restrictions des séries de Taylor absolument convergentes à un fermé du cercle. (On the algebras of restrictions of Taylor series which absolutely convergent in a closed set of the circle.)
• Homogeneous algebras on the circle. I: Ideals of analytic functions
• Asymptotic stability of linear differential equations in Banach spaces
• A Tauberian Theorem arising in Operator Theory
• Tauberian Theorems and Stability of One-Parameter Semigroups
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