Weak-star generators of H^∞

Donald Erik Sarason

Vol. 17 (1966), No. 3, 519–528

DOI: 10.2140/pjm.1966.17.519

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