Nuclear operators on Cb(X, E) and the strict topology
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Marian Nowak
und
Juliusz Stochmal
Abstract
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded, continuous functions on X, equipped with the natural strict topology β. We study nuclear operators T: Cb(X,E) → F in terms of their representing operator-valued Borel measures.
Acknowledgement
The authors wish to thank the referee for remarks and suggestions that have improved the paper.
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- Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
- Nuclear operators on Cb(X, E) and the strict topology
- More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
- Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras
- Addendum to “A sequential implicit function theorem for the chords iteration”, Math. Slovaca 63(5) (2013), 1085–1100
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