Ergodicity of commuting multioperators and holomorphic multioperators of multiplication

DOI10.22199/issn.0717-6279-5790OpenAlexW4385541104MaRDI QIDQ6143702

Abdelkhalek Faouzi, Abdellah Akrym, A. El Bakkali

Publication date: 24 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-5790

zbMATH Keywords

power boundedergodic theoremcommuting multioperatorsholomorphic vector-valued functionsmultioperators of multiplication

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear operators on function spaces (general) (47B38) Multifunctions of several complex variables (32A12)

Cites Work

• Weighted \((LB)\)-spaces of holomorphic functions: \(\nu H(G)=\nu_{0}H(G)\) and completeness of \(\nu_{0}H(G)\)
• On weighted spaces of holomorphic functions of several variables
• Mean ergodicity of multiplication operators in weighted spaces of holomorphic functions
• Ergodic theorems. With a supplement by Antoine Brunel
• Uniform convergence of operators on \(L^{\infty}\) and similar spaces
• Boundary points of joint numerical ranges
• An operator representation for weighted spaces of vector valued homomorphic functions
• Weighted vector-valued holomorphic functions on Banach spaces
• The analytic-functional calculus for several commuting operators
• Uniformly Ergodic Multioperators
• On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
• On the Uniform Ergodic Theorem
• Remarks on Ergodic Theorems
• Spectral theory of linear operators and spectral systems in Banach algebras
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