Resumen de Distances between composition operators
Valentin Matache
Composition operators Cf induced by a selfmap f of some set S are operators acting on a space consisting of functions on S by composition to the right with f, that is Cff = f º f. In this paper, we consider the Hilbert Hardy space H2 on the open unit disk and find exact formulas for distances ||Cf - C?|| between composition operators. The selfmaps f and ? involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin.
