Nuclear operators on the space of vector-valued continuous functions
Marian Nowak
University of Zielona Góra, Zielona Góra, Poland
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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