Skip Navigation

The Quarterly Journal of Mathematics 2004 55(3):303-305; doi:10.1093/qmath/hah005
© 2004 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Extremera, J.
Right arrow Articles by Villena, A. R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Separating ideals in group algebras

J. Extremera1 and A. R. Villena1

1 Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Let G be a non-compact locally compact group and let A be a unital Banach algebra. We show that the only separating ideal in L1(G,A) is {0}. This entails that every epimorphism onto L1(G,A) and every derivation on L1(G,A) is continuous.

Received 12 June 2003. Revised 28 November 2003.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.