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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Vydáno v:Boletín de la Sociedad Matemática Mexicana Ročník 28; číslo 3
Hlavní autoři: Palacios, Lourdes, Ramos-Martínez, Pavel, Signoret, Carlos
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.11.2022
Springer Nature B.V
Témata:
Continuity (mathematics)
Convexity
Mathematics
Mathematics and Statistics
Original Article
Topology
46E25
46J10
convex algebra
Vector valued continuous function spaces
property
Primary 46H05
Secondary 46H20
ISSN:1405-213X, 2296-4495
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Popis
Shrnutí: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 ) .
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-022-00470-3