Home Article Info
Bulletin of the Iranian Mathematical Society
Articles in Press
Current Issue
Journal Archive
Volume Volume 39 (2013)
Volume Volume 38 (2012)
Volume Volume 37 (2011)
Volume Volume 36 (2010)
Volume Volume 35 (2009)
Volume Volume 34 (2008)
Volume Volume 33 (2007)
Volume Volume 32 (2006)
Volume Volume 31 (2005)
Volume Volume 30 (2004)
Volume Volume 29 (2003)
Volume Volume 28 (2002)
Volume Volume 27 (2001)

On the stability of generalized derivations on Banach algebras

Articles in Press, Accepted Manuscript , Available Online from 28 June 2011  XML PDF (200 K)
Document Type: Research Paper
Authors
1Ansari-Piri Esmaeil ; 2anjidani ehsan
1University of Guilan
2university of Guilan
Abstract
We investigate the stability of generalized
derivations on Banach algebras with a bounded central approximate
identity. We show that every approximate generalized derivation in
the sense of Rassias, is an exact generalized derivation. Also the
stability problem of generalized derivations on the faithful Banach
algebras is investigated.
Keywords
Hyers-Ulam-Rassias stability; generalized derivation; bounded central approximate identity; faithful Banach algebra
Main Subjects
46-XX Functional Analysis
Statistics
Article View: 49
PDF Download: 39