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

Published online by Cambridge University Press:  20 November 2018

Richard Aron  and
Pamela Gorkin
Richard Aron
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A. e-mail: aron@math.kent.edu
Pamela Gorkin
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, PA 17837, U.S.A. e-mail: pgorkin@bucknell.edu
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Abstract

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We show that there exists a closed infinite dimensional subspace of ${{H}^{\infty }}\left( {{B}^{n}} \right)$ such that every function of norm one is universal for some sequence of automorphisms of ${{B}^{n}}$.

Keywords

47B3847B3346J10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 2 , 01 June 2007 , pp. 172 - 181
Copyright
Copyright © Canadian Mathematical Society 2007

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