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An Infinite Dimensional Vector Space of Universal Functions for $H^\infty$ of the Ball |
Published:2007-06-01
Printed: Jun 2007
Printed: Jun 2007
- Richard Aron
- Pamela Gorkin
Abstract
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 $B^n$.
| MSC Classifications: |
47B38 - Operators on function spaces (general) 47B33 - Composition operators 46J10 - Banach algebras of continuous functions, function algebras [See also 46E25] |