Derivations from Banach function algebras

Dales, H.G. and White, K. A. L. (2004) Derivations from Banach function algebras. The Quarterly Journal of Mathematics, 55 (4). pp. 451-461. ISSN 0033-5606

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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.

Item Type:
Journal Article
Journal or Publication Title:
The Quarterly Journal of Mathematics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
67584
Deposited By:
Deposited On:
19 Nov 2013 09:47
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 08:42