Ratios of interpolating Blaschke products

Peter Wilcox Jones

Vol. 95 (1981), No. 2, 311–321

DOI: 10.2140/pjm.1981.95.311

Abstract

Every unimodular function on the unit circle can be uniformly approximated by ratios of interpolating Blaschke products. As a consequence, we show that points of the maximal ideal space of H^∞ can be separated by interpolating Blaschke products.

Mathematical Subject Classification 2000

Primary: 30D50

Secondary: 30E05, 46E99

Milestones

Received: 13 September 1979

Published: 1 August 1981