Polynomial automorphisms and hypercyclic operators on spaces of analytic functions

DOI10.1007/S00013-007-2043-4zbMath1137.47009OpenAlexW2018877428MaRDI QIDQ2642852

Zoryana Novosad, Andriy V. Zagorodnyuk

Publication date: 6 September 2007

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-007-2043-4

zbMATH Keywords

symmetric functionsfunctional spacespolynomial automorphismshypercyclic operators

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Cyclic vectors, hypercyclic and chaotic operators (47A16) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (5)

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces ⋮ Hypercyclic operators on spaces of block-symmetric analytic functions ⋮ Hypercyclic behavior of translation operators on spaces of analytic functions on Hilbert spaces ⋮ Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces ⋮ Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$

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