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Endomorphisms of Banach algebras of infinitely differentiable functions

Feinstein, Joel; Kamowitz, Herbert

Authors

Herbert Kamowitz



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. (1999). 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 http://eprints.nottingham.ac.uk/id/eprint/17
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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