5 papers
Best approximation results for fuzzy-number-valued continuous functions
Juan J. Font, Sergio Macario
In this paper we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method…
Constructive approximation of continuous interval-valued functions
Juan Jose Font, Sergio Macario
In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. Namely, we provide a construct…
Korovkin-type results on convergence of sequences of positive linear maps on function spaces
M. Hosseini, J. J. Font
In this paper we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions. We obtain generalization…
Stability and instability of weighted composition operators
Jesus Araujo, Juan J. Font
Let . A continuous linear operator $T:C(X) \ra C(Y)$ is said to be {\em -disjointness preserving} if $\vc (Tf)(Tg)\vd_{\infty} \le ε$, whenever satisfy $\vc f…
Isometric shifts and metric spaces
Jesus Araujo, Juan J. Font
Let M be a complete metric space. It is proved that if the space or scalar-valued bounded continuous functions on M admits an isometric shift, then M is separable.