Metrizability of spaces of holomorphic functions with the Nachbin topology

DOI10.1016/J.JMAA.2007.01.012zbMath1136.46033OpenAlexW2073139405MaRDI QIDQ996900

José M. Ansemil, Socorro Ponte

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.012

zbMATH Keywords

holomorphic functionNachbin topologymetrisable space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (3)

Infinite dimensional holomorphic non-extendability and algebraic genericity ⋮ Vector spaces of non-extendable holomorphic functions ⋮ Metrizability of spaces of holomorphic functions

Cites Work

• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• Spaces of holomorphic mappings on Banach spaces with a Schauder basis
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