Disjoint hypercyclic linear fractional composition operators |
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Authors: | J Bès Ö Martin |
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Institution: | a Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA b Department of Mathematics, Miami University, Oxford, OH 45056, USA c IUMPA, Universitat Politècnica de València, Departament de Matemàtica Aplicada, Edifici 7A, 46022 València, Spain |
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Abstract: | We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. We also study mixing and disjoint mixing behavior of projective limits of endomorphisms of a projective spectrum. In particular, we show that a linear fractional composition operator is mixing on the projective limit of the Sv spaces strictly containing the Dirichlet space if and only if the operator is mixing on the Hardy space. |
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Keywords: | Hypercyclic operators Composition operators Dirichlet spaces |
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