Nuclear operators on Cb(X, E) and the strict topology
-
Marian Nowak
and
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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© 2018 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- On the number of cycles in a graph
- Characterization of posets for order-convergence being topological
- Classification of posets using zero-divisor graphs
- On a generalized concept of order relations on B(H)
- A study of stabilizers in triangle algebras
- Revealing two cubic non-residues in a quadratic field locally
- Codensity and stone spaces
- Big mapping class groups are not acylindrically hyperbolic
- Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
- Starlike and convex functions with respect to symmetric conjugate points involving conical domain
- Summations of Schlömilch series containing anger function terms
- 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
- Comparison of density topologies on the real line
- Rational homotopy of maps between certain complex Grassmann manifolds
- Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
- Rothe’s method for physiologically structured models with diffusion
- Zero-divisor graphs of lower dismantlable lattices II
- An identity of symmetry for the degenerate Frobenius-Euler Polynomials
