Division theorems and the Shilov property for H^∞ + C

Pamela Gorkin and Raymond Mortini

Vol. 189 (1999), No. 2, 279–293

DOI: 10.2140/pjm.1999.189.279

Abstract

It is shown that H^∞ + C has the Shilov property. In particular any function f in H^∞ + C vanishing in an open neighborhood of the zeros of another function g in H^∞ + C is divisible there by g.

Milestones

Received: 23 October 1997

Revised: 9 March 1998

Published: 1 June 1999