ABSTRACT

We consider here the space of continuous functions from a compact and convex subset of a normed vector space into an abstract Banach lattice. Also we consider here lattice homomorphisms from the above space into itself or into the associated space of vector valued bounded functions. The uniform convergence of such operators to the unit operator with rates is mainly studied in this chapter. The presented quantitative results are inequalities which engage the modulus of continuity of the involved continuous function or of its high-order Fréchet derivative. This treatment relies on [19].