Endomorphisms of Banach algebras of infinitely differentiable functions

Feinstein, J. F. and Kamowitz, Herbert (1999) Endomorphisms of Banach algebras of infinitely differentiable functions.

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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

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Gardner, Mike
Date Deposited: 31 Jul 2001
Last Modified: 22 Jun 2011 07:20
URI: http://eprints.nottingham.ac.uk/id/eprint/17

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