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Derivations from Banach function algebras

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>12/2004
<mark>Journal</mark>The Quarterly Journal of Mathematics
Issue number4
Volume55
Number of pages11
Pages (from-to)451-461
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

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.