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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
  • Richard Aron
  • Pamela Gorkin
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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, 47B33, 46J10 show english descriptions Operators on function spaces (general)
Composition operators
Banach algebras of continuous functions, function algebras [See also 46E25]
47B38 - Operators on function spaces (general)
47B33 - Composition operators
46J10 - Banach algebras of continuous functions, function algebras [See also 46E25]
 

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