Approximately Local Derivations

Certain linear operators from a Banach algebra A into a Banach A -bimodule X , which are called approximately local derivations, are studied. It is shown that when A is a C * -algebra, a Banach algebra generated by idempotents, a semisimple annihilator Banach algebra, or the group algebra of a SIN or a totally disconnected group, bounded approximately local derivations from A into X are derivations. This, in particular, extends a result of B. E. Johnson that ‘local derivations on C * -algebras are derivations’ and provides an alternative proof of it. © The London Mathematical Society « Previous | Next Article » Table of Contents This Article J. London Math. Soc. (2005) 71 (3): 759-778. doi: 10.1112/S0024610705006496 » Abstract Free Full Text (PDF) Free Classifications Notes and Papers Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Samei, E. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue October 2015 92 (2) Alert me to new issues The Journal About the journal Rights & Permissions We are mobile – find out more Published on behalf of London Mathematical Society Impact Factor: 0.820 5-Yr impact factor: 0.925 Editors Anthony J. Scholl Ivan Smith View full editorial board LMS journals now available in full MathJax HTML. MathJax is an open-source JavaScript display engine that produces high-quality mathematics in all modern browsers. To learn more about MathJax, please visit their site at www.MathJax.org. For Authors Instructions to authors Including copyright assignment, and offprints order forms. Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services What we offer Advertising sales Reprints Supplements