Metrizability of spaces of holomorphic functions

DOI10.1016/J.JMAA.2009.01.063zbMath1175.46027OpenAlexW2085322473MaRDI QIDQ1018367

Jerónimo López-Salazar

Publication date: 19 May 2009

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

Full work available at URL: http://oa.upm.es/22361/

zbMATH Keywords

holomorphic functionlimited setbounding setNachbin-Coeuré topology

Mathematics Subject Classification ID

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

Cites Work

• Metrizability of spaces of holomorphic functions with the Nachbin topology
• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• \(w^*\) sequential convergence
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