Nuclear tight operators on spaces of continuous functions
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Abstract:
Let $C_b(X)$ denote the Banach space of all bounded continuous real-valued functions on a completely regular Hausdorff space $X$. We characterize nuclear tight operators $T:C_b(X)\rightarrow E$ in terms of their representing Radon vector measures. As an application, it is shown that some natural kernel operators on $C_b(X)$ are tight and nuclear.References
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Additional Information
- Marian Nowak
- Affiliation: Institute of Mathematics, University of Zielona Góra, ul. Szafrana 4A, 65–516 Zielona Góra, Poland
- MR Author ID: 223778
- Email: M.Nowak@wmie.uz.zgora.pl
- Received by editor(s): May 4, 2021
- Received by editor(s) in revised form: November 8, 2021
- Published electronically: March 24, 2022
- Communicated by: Stephen Dilworth
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 3487-3500
- MSC (2020): Primary 47B10, 46G10, 46E27
- DOI: https://doi.org/10.1090/proc/15911
- MathSciNet review: 4439470