Vol. 17, No. 3, 1966

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Weak-star generators of H∞

Donald Erik Sarason

Vol. 17 (1966), No. 3, 519–528
Abstract

Let H denote the algebra of bounded analytic functions in the unit disk D = {z : |z| < 1}. A function φ in H is called a generator if the polynomials in φ are weak-star dense in H. The problem to be considered here is that of characterizing the generators of H.

Mathematical Subject Classification
Primary: 46.55
Secondary: 30.00
Milestones
Received: 7 January 1965
Published: 1 June 1966
Authors
Donald Erik Sarason