Compact Sets of Holomorphic Mappings

DOI10.1002/mana.19981930104zbMath0921.46042OpenAlexW2056191664MaRDI QIDQ4209788

Seán Dineen, Christopher Boyd

Publication date: 30 September 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19981930104

zbMATH Keywords

compactnessspaces of holomorphic functionsHeinrich's density conditioninfinite-dimensional domainslocally bounded sets of holomorphic functionsmetrizability of bounded subsetsSchwartz and semi-Montel properties

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Ultraproducts in functional analysis (46M07) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (1)

Holomorphic mappings on \(C^{(I)}\), \(I\) uncountable

Cites Work

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• Some results on Fréchet spaces with the density condition
• On a problem of topologies in infinite dimensional holomorphy
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• Dual density conditions in (DF)-spaces. I
• Locally bounded subsets of holomorphic functions
• Linearization of holomorphic mappings on locally convex spaces
• Sur les espaces parfaits de suites et leurs généralisations
• Locally Bounded Sets of Holomorphic Mappings
• Some Questions of Heinrich on Ultrapowers of Locally Convex Spaces
• Linearization of holomorphic mappings on fully nuclear spaces with a basis
• Holomorphic Functions and the (BB)-Property.

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