Quasianalyticity in certain Banach function algebras

Feinstein, Joel and Morley, Sam (2017) Quasianalyticity in certain Banach function algebras. Studia Mathematica, 238. pp. 133-153. ISSN 0039-3223

Preview

PDF (Accepted manuscript) - Accepted Version Download (780kB) | Preview

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
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	https://arxiv.org/abs/1605.04779
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

Downloads

Actions (login required)

View Item