Powers of operators: convergence and decomposition

DOI10.1090/conm/743/14966zbMath1442.30026OpenAlexW3006337549MaRDI QIDQ3295983

Wolfgang Arendt, Isabelle Chalendar

Publication date: 3 July 2020

Published in: Complex Analysis and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/743/14966

zbMATH Keywords

asymptotic behaviourcomposition operatortriangular decompositionBanach space of holomorphic functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Groups and semigroups of linear operators (47D03) Linear composition operators (47B33)

Cites Work

• One-parameter semigroups of positive operators
• On power bounded operators
• Adjoints of linear fractional composition operators on the Dirichlet space
• The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
• Vector-valued Laplace Transforms and Cauchy Problems
• Asymptotic stability of linear differential equations in Banach spaces
• A Tauberian Theorem arising in Operator Theory
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions
• POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES

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