On Some Properties of A Inherited by C b(X, A)

Alejandra García (), Lourdes Palacios () and Carlos Signoret ()
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Alejandra García: Ciudad Universitaria México, Facultad de Ciencias UNAM
Lourdes Palacios: Universidad Autónoma Metropolitana Iztapalapa
Carlos Signoret: Universidad Autónoma Metropolitana Iztapalapa

A chapter in Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, 2018, pp 563-578 from Springer

Abstract: Abstract Let X be a completely regular Hausdorff space or a pseudocompact Hausdorff space. We denote by C(X, A) the algebra of all continuous functions on X with values in a complex unital locally pseudo-convex algebra A. Let C b(X, A) be its subalgebra consisting of all bounded continuous functions endowed with the topology given by the uniform pseudo-seminorms of A on X. In this paper we examine some properties of A that are inherited by C b(X, A); these properties are projective limit decomposition, inversion, involution, spectral properties and metrizability.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-96827-8_25

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DOI: 10.1007/978-3-319-96827-8_25

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