An Infinite Dimensional Vector Space of Universal Functions for $H^\infty$ of the Ball
Printed: Jun 2007
We show that there exists a closed infinite dimensional subspace
of $H^\infty(B^n)$ such that every function of norm one is
universal for some sequence of automorphisms of $B^n$.
47B38 - Operators on function spaces (general)
47B33 - Composition operators
46J10 - Banach algebras of continuous functions, function algebras [See also 46E25]