On a Marinescu structure on C(X)

Binz, Ernst ; Feldman, Wilhelm

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URL: https://ub-madoc.bib.uni-mannheim.de/1922
URN: urn:nbn:de:bsz:180-madoc-19222
Document Type: Working paper
Year of publication: 1971
The title of a journal, publication series: None
Place of publication: Mannheim
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 46E25 46E10 ,
Subject headings (SWD): Ring <Mathematik> , Topologischer Vektorraum
Abstract: The purpose of this note is to introduce a natural Marinescu structure [7] (an inductive limit of locally convex topological vector spaces in the category of convergence spaces) on C(X) , where C(X) denotes the IR-algebra of all continuous real-valued function on a completely regular topological space X. The structure in question is closely related to Cc(X) , the algebra C(X) endowed with the continuous convergence structure [1].
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