On m-convexity in CV(0)(X,A)

Let X be a completely regular Hausdorff space and V a Nachbin family on X. For a locally convex algebra A , let C V ( 0 ) ( X , A ) be the algebra of all weighted vector-valued continuous functions with the topology given by the uniform seminorms induced by V . In this paper, we study completeness,...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2022-11, Vol.28 (3), Article 76
Main Authors: Palacios, Lourdes, Ramos-Martínez, Pavel, Signoret, Carlos
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Convexity
Mathematics
Mathematics and Statistics
Original Article
Topology
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Summary:Let X be a completely regular Hausdorff space and V a Nachbin family on X. For a locally convex algebra A , let C V ( 0 ) ( X , A ) be the algebra of all weighted vector-valued continuous functions with the topology given by the uniform seminorms induced by V . In this paper, we study completeness, m -convexity and locally C ∗ -property in C V ( 0 ) ( X , A ) .
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-022-00470-3