Hypercyclicity of composition operators in Stein manifolds

DOI10.1090/proc/13046zbMath1359.47008arXiv1202.6638OpenAlexW1489577443MaRDI QIDQ2814417

Sylwester Zając

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.6638

zbMATH Keywords

Stein manifoldspaces of holomorphic functionscomposition operatorsholomorphic convexityhypercyclic operators\(\mathcal{O}(\Omega)\)-convexity

Mathematics Subject Classification ID

Stein manifolds (32Q28) Linear composition operators (47B33) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Power bounded weighted composition operators on function spaces defined by local properties ⋮ Dynamics of weighted composition operators in the unit ball ⋮ Universal sequences of composition operators ⋮ Dynamics of weighted composition operators on function spaces defined by local properties ⋮ Free dense subgroups of holomorphic automorphisms ⋮ Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps

Cites Work

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• Polynomial convexity
• Peak points for pseudoconvex domains: A survey
• Universal functions for composition operators with non-automorphic symbol
• Universal functions on complex general linear groups
• Universal entire functions for affine endomorphisms of \(\mathbb C^N\)
• Bounded universal functions in one and several complex variables
• Stein Manifolds and Holomorphic Mappings
• Universal zero solutions of linear partial differential operators
• Universal families and hypercyclic operators
• Hypercyclic composition operators on spaces of real analytic functions
• Invariant distances and metrics in complex analysis