On some properties of CV_{(0)}(X, A)

Keywords: Vector valued continuous function spaces, locally convex algebra, spectral algebra, uniformly A-convex algebra

Abstract

Let X be a completely regular Hausdorff space and V a Nachbin family on X. For a locally convex algebra A, let CV(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 some properties of A that are inherited by CV(0)(X, A). These properties are related to the unit element, spectral seminorms and uniformly A-convex property.

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Author Biographies

Lourdes Palacios, UNIVERSIDAD AUTONOMA METROPOLITANA IZTAPALAPA

Departamento de Matemáticas

Pavel Ramos-Martinez, Universidad Nacional Autónoma de México

Departamento de Matemáticas

Carlos Signoret, Universidad Autónoma Metropolitana Iztapalapa

Departamento de Matemáticas

Published
2022-11-23
Section
Articles