Large subspaces of compositionally universal functions with maximal cluster sets

DOI10.1016/j.jat.2011.10.005zbMath1250.30053OpenAlexW2037135925MaRDI QIDQ765686

José A. Prado-Bassas, Luis Bernal-González, María del Carmen Calderón-Moreno

Publication date: 22 March 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.10.005

zbMATH Keywords

composition operatorscluster setshypercyclic vectorsspaceabilitydense-lineabilitycompositional universality

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Cluster sets, prime ends, boundary behavior (30D40) Compositional universality (30K20)

Related Items (6)

Universal sequences of composition operators ⋮ Holomorphic functions with universal boundary behaviour ⋮ A dynamical characterization of sub-Arakelian subsets ⋮ Nonseparable spaceability and strong algebrability of sets of continuous singular functions ⋮ Holomorphic surjectivity near the boundary: topological and algebraic genericity ⋮ Linear subsets of nonlinear sets in topological vector spaces

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