Advertisement

manuscripta mathematica

, Volume 38, Issue 3, pp 333–341 | Cite as

The injective hull op an operator ideal on locally convex spaces

  • L. Franco
  • C. Piñeiro
Article

Abstract

In his book (3), Pietsch presents the problem of a direct construction of the injective hull of an operator ideal on loca. lly convex spaces. We construct the infective hull of an arbitrary operator ideal on locally convex spaces using the functor
, where
and B cover the family of all equicontinuous subsets of E'(L is the category of all locally convex spaces). If the operator ideal is bounded, we ob tain its infective hull using seminorm ideals.

Keywords

Number Theory Algebraic Geometry Topological Group Operator Ideal Direct Construction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (l).
    HORVATH, J.: Topological Vector Spaces. London: Addison Wesley 1996Google Scholar
  2. (2).
    KÖTHE, G.: Topological Vector Spaces. Berlin:Springer-Verlag 1969Google Scholar
  3. (3).
    PIETSCH, A.: Operator ideals Amsterdam-New York-Oxford North Holland 1980Google Scholar
  4. (4).
    PIETSCH, A.: Theorie der Operatorenideale. Friedrich-Schiler Universität Jena (1972)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • L. Franco
    • 1
  • C. Piñeiro
    • 1
  1. 1.Departamento de Teoria de Funciones Facultad de MatemáticasUniversidad de SevillaSevilla 12.España

Personalised recommendations