Vol. 65, No. 2, 1976

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
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
A characterization of Riemann algebras

Bruno Kramm

Vol. 65 (1976), No. 2, 393–397
Abstract

A topological algebra 𝒜 is called Riemann algebra if it is topologically isomorphic to the Fréchet algebra 𝒪(R) of all holomorphic functions on some Riemann surface R.

One obtains a characterization of Riemann algebras by a theorem of R. L. Carpenter and the Oka-Weil-Cartan theorem; we show that: a uniform Fréchet algebra 𝒜 whose spectrum is locally compact and connected, is a Riemann algebra if and only if every closed maximal ideal is principal.

Mathematical Subject Classification 2000
Primary: 46J15
Milestones
Received: 28 January 1976
Revised: 15 June 1976
Published: 1 August 1976
Authors
Bruno Kramm