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Trivial generators for nontrivial fibres
Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
2008 (English)In: MATHEMATICA BOHEMICA, ISSN 0862-7959, Vol. 133, no 2, 121-131 p.Article in journal (Refereed) Published
Abstract [en]

Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in $\mathbb{C}^n$ where the fibre is nontrivial, has to exceed $n$. This is shown not to be the case.

Place, publisher, year, edition, pages
2008. Vol. 133, no 2, 121-131 p.
Keyword [en]
holomorphic function, Banach algebra, generator
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-26545OAI: oai:DiVA.org:umu-26545DiVA: diva2:272057
Available from: 2009-10-14 Created: 2009-10-14

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