Vol. 57, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Real parts of uniform algebras on the circle

W. P. Novinger

Vol. 57 (1975), No. 1, 259–264
Abstract

This paper is about uniform algebras on the unit circle Γ in the complex plane and specifically with the spaces of real parts of such algebras. The major portion of the paper is devoted to proving that if A is the disc algebra on Γ and B is any uniform algebra on Γ such that ReA ReB, then either B = C(Γ) or else B = A Φ(= {f Φ : f A}) for some homeomorphism Φ. We also show that any homeomorphism Φ for which ReA ReA Φ must be absolutely continuous.

Mathematical Subject Classification 2000
Primary: 46J10
Milestones
Received: 17 July 1974
Revised: 27 August 1974
Published: 1 March 1975
Authors
W. P. Novinger