Vol. 35, No. 2, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
An approximation theorem for subalgebras of H∞

Arne Stray

Vol. 35 (1970), No. 2, 511–515
Abstract

Let E be a closed subset of the unitcircle T = {z : |z| = 1} and denote by BE the algebra of all functions which are bounded and continuous on the set X = {z : |z|1&zE} and analytic in D = {z : |z| < 1}.

The main result of this paper (Theorem 1) is that there exist an open set V E containing X such that every f BE can be approximated uniformly on X by functions being analytic in V E.

Mathematical Subject Classification
Primary: 46.55
Milestones
Received: 30 December 1969
Published: 1 November 1970
Authors
Arne Stray
Mathematics Institute
University of Bergen
5007 Bergen
Norway