Feinstein, Joel and Morley, Sam (2017) Quasianalyticity in certain Banach function algebras. Studia Mathematica, 238. pp. 133-153. ISSN 0039-3223
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Abstract
Let X be a perfect, compact subset of the complex plane. We consider algebras of those functions on X which satisfy a generalised notion of differentiability, which we call F-differentiability. In particular, we investigate a notion of quasianalyticity under this new notion of differentiability and provide some sufficient conditions for certain algebras to be quasianalytic. We give an application of our results in which we construct an essential, natural uniform algebra A on a locally connected, compact Hausdorff space X such that A admits no non-trivial Jensen measures yet is not regular. This construction improves an example of the first author (2001).
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 31 Aug 2018 15:31 |
Last Modified: | 04 Mar 2024 17:43 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/68180 |
DOI: | 10.4064/sm8614-12-2016 |
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