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The Quarterly Journal of Mathematics 2004 55(4):451-461; doi:10.1093/qmath/hah008
© 2004 by Oxford University Press
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Derivations from Banach function algebras

H. G. Dales * and K. A. L. White

Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT

We study the structure of derivations D : AlgA C [X] -> A, where A is a function algebra defined on a compact subset of C such that A contains C [X]. We show that, under certain conditions on the algebra A, all such derivations are zero. We give examples to show the necessity of these conditions.

Received 22 July 2003.

* Corresponding author.


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