An Infinite Dimensional Vector Space of Universal Functions for H∞ of the Ball

DOI10.4153/CMB-2007-018-2zbMath1136.46017MaRDI QIDQ5436637

Pamela Gorkin, Richard Martin Aron

Publication date: 17 January 2008

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

universal functionscomposition operatorsautomorphisms of the ballinfinite-dimensional universal subspaces

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (7)

Large vector spaces generated by bounded universal functions ⋮ Universality of automorphisms on the ball of bounded holomorphic functions on the polydisk ⋮ How to get universal inner functions ⋮ Some examples of hypercyclic operators and universal sequences of operators ⋮ Bounded universal functions for sequences of holomorphic self-maps of the disk ⋮ Universal functions for composition operators with non-automorphic symbol ⋮ Infinite dimensional universal subspaces generated by Blaschke products

This page was built for publication: An Infinite Dimensional Vector Space of Universal Functions for H^∞ of the Ball