A Hahn-Banach theorem for holomorphic mappings on localy convex spaces

DOI10.1007/BF01159181zbMath0538.46033MaRDI QIDQ793291

Ralf Hollstein

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173544

zbMATH Keywords

holomorphic mapping\(\epsilon\)-spaceFréchet-valued holomorphic functionholomorphic extensions in Banach spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Counterexamples in holomorphic functions on nuclear Fréchet spaces
• Extension and lifting of continuous linear mappings in locally convex spaces
• Inductive limits and ε-tensor products.
• Holomorphic Functions on Nuclear Spaces
• A Hahn-Banach extension theorem for analytic mappings
• Charakterisierung lokalkonvexer Räume mit Hilfe von Tensornormtopologien
• Extension of Entire Functions on Nuclear Locally Convex Spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires