Nuclear operators on the space of vector-valued continuous functions

  • Marian Nowak

    University of Zielona Góra, Zielona Góra, Poland
Nuclear operators on the space $C_{\mathrm{rc}}(X,E)$ of vector-valued continuous functions cover

A subscription is required to access this article.

Abstract

Let be a completely regular Hausdorff space and and be Banach spaces. Let denote the Banach space of all continuous functions such that is a relatively compact set in . Let be the strict topology on . We characterize the nuclearity of a -continuous operator in terms of its representing operator-valued Baire measure. As an application, we establish the relationship between the nuclearity of a -continuous operator and the nuclearity of its conjugate operator .

Cite this article

Marian Nowak, Nuclear operators on the space of vector-valued continuous functions. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1758