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Nebenhulle and the Gleason problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2010 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 138, no 1, p. 267-273Article in journal (Refereed) Published
Abstract [en]

This article concerns the Gleason property as a local phenomenon. We prove that there always exists an open set where the domain D (sic) C(2) has the Gleason beta property whenever the boundary of the Nebenhulle of D coincides with a C(2) smooth part of the boundary bD; here beta is either one of the Banach algebras, H(infinity) or A. As an easy consequence of this, we see that if the extremal boundary points are C(2)-smooth, then D has the Gleason beta property close to those points. Also a partial derivative-problem for locally supported forms is solved.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2010. Vol. 138, no 1, p. 267-273
Keywords [en]
Holomorphic functions, Banach algebras, Nebenhulle, partial derivative-problems
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-109057DOI: 10.1090/S0002-9939-09-10064-3ISI: 000273614200029OAI: oai:DiVA.org:umu-109057DiVA, id: diva2:855071
Available from: 2015-09-18 Created: 2015-09-17 Last updated: 2018-06-07Bibliographically approved

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Carlsson, Linus

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