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

In: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Author

Listed:
  • Alejandra García

    (Ciudad Universitaria México, Facultad de Ciencias UNAM)

  • Lourdes Palacios

    (Universidad Autónoma Metropolitana Iztapalapa)

  • Carlos Signoret

    (Universidad Autónoma Metropolitana Iztapalapa)

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.

Suggested Citation

  • Alejandra García & Lourdes Palacios & Carlos Signoret, 2018. "On Some Properties of A Inherited by C b(X, A)," Springer Books, in: Gert-Martin Greuel & Luis Narváez Macarro & Sebastià Xambó-Descamps (ed.), Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, pages 563-578, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-96827-8_25
    DOI: 10.1007/978-3-319-96827-8_25
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