On algebras of Banach algebra-valued bounded continuous functions
2016; Rocky Mountain Mathematics Consortium; Volume: 46; Issue: 2 Linguagem: Inglês
10.1216/rmj-2016-46-2-389
ISSN1945-3795
AutoresHugo Arizmendi-Peimbert, Angel Carrillo-Hoyo, Alejandra García-García,
Tópico(s)Advanced Banach Space Theory
ResumoLet $X$ be a completely regular Hausdorff space. We denote by $C(X,A)$ the algebra of all continuous functions on $X$ with values in a complex commutative unital Banach algebra $A$. Let $C_{b}(X,A)$ be its subalgebra consisting of all bounded continuous functions and endowed with the uniform norm. In this paper, we give conditions equivalent to the density of a natural continuous image of $X\times \mathcal {M}(A)$ in the maximal ideal space of $C_{b}(X,A)$.
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