The Levi problem in non-locally convex seperable topological vector spaces.
Copyright policy )The Levi problem in non-locally convex seperable topological vector spaces.
The author continues his study of pseudoconvexity in a nonlocally convex space setting. Following, \textit{L. Waelbroeck} [Topological vector spaces and algebras, Lect. Notes Math. 230 (1971; Zbl 0225.46001)], let \(E\) be an \(Lps\), i.e. a locally pseudoconvex topological vector space. After showing that the necessary results concerning surjective limits [\textit{S. Dineen}, Bull. Soc. Math. Fr. 103 (1975), 441-509 (1976; Zbl 0328.46045)] carry over with virtually no change, the author proves that if \(E\) is a Hausdorff \(Lps\) with the bounded approximation property, then every pseudoconvex domain \(U\) spread over \(E\) is a domain of holomorphy. For \(0
- DigiZeitschriften Germany
510.mathematics, pseudoconvexity in a nonlocally convex space, Pseudoconvex domains, Infinite-dimensional holomorphy, Levi problem, pseudoconvex domain, Article, Hausdorff \(Lps\) with the bounded approximation property
510.mathematics, pseudoconvexity in a nonlocally convex space, Pseudoconvex domains, Infinite-dimensional holomorphy, Levi problem, pseudoconvex domain, Article, Hausdorff \(Lps\) with the bounded approximation property
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!