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BIBTEX RIS

On the $m$-convexity of $C_b(X)$

2003; University of Debrecen; Volume: 63; Issue: 3 Linguagem: Inglês

10.5486/pmd.2003.2702

ISSN

2064-2849

Autores

Hugo Arizmendi-Peimbert, Angel Carrillo-Hoyo,

Tópico(s)

Advanced Banach Space Theory

Resumo

Let X be a topological space and C b (X) the algebra of bounded continuous complex functions defined on X, with the strict topology β defined by R. Giles.In this paper a necessary and sufficient condition is given in order that C b (X) be an m-convex algebra, when X is a completely regular Hausdorff space.The density of principal ideals in this algebra and an algebra of analytic sequences are also studied.

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