Endomorphisms of Banach algebras of infinitely differentiable functions

Feinstein, Joel; Kamowitz, Herbert

Abstract

In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure.
In a previous paper this problem was solved in the case of the unit interval for many weights M. Here we investigate the extent to which the methods used previously apply to general compact plane sets, and introduce some new methods. In particular, we obtain many results for the case of the closed unit disc.
This research was supported by EPSRC grant GR/M31132

Citation

Feinstein, J., & Kamowitz, H. Endomorphisms of Banach algebras of infinitely differentiable functions

• Journal Article Type: Article
• Publication Date: Jan 1, 1999
• Deposit Date: Jul 31, 2001
• Publicly Available Date: Oct 9, 2007
• Peer Reviewed: Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1023936