The Hahn-Banach Theorem in Inductive Limit Spaces

Extending linear forms on inductive limit spaces cannot, in general, be done directly by the Hahn-Banach theorem. The aim of this paper is to investigate solutions for the general extension problem, as well as the norm preserving extension problem. Then we give an application to the algebra of germs...

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Bibliographic Details
Published in:Resultate der Mathematik 2025-02, Vol.80 (1), Article 12
Main Author: Mokni, Hichem
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Extending linear forms on inductive limit spaces cannot, in general, be done directly by the Hahn-Banach theorem. The aim of this paper is to investigate solutions for the general extension problem, as well as the norm preserving extension problem. Then we give an application to the algebra of germs of holomorphic functions.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-024-02332-y