Título inglés |
Distances between composition operators. |
Título español |
Distancias entre operadores de composición. |
Autor/es |
Matache, Valentin |
Organización |
Dep. Math. Univ. Nebraska, Omaha (Nebraska), Estados Unidos |
Revista |
0213-8743 |
Publicación |
2007, 22 (1): 19-33, 19 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Composition operators Cφ induced by a selfmap φ of some set S are operators acting on a space consisting of functions on S by composition to the right with φ, that is Cφf = f º φ. In this paper, we consider the Hilbert Hardy space H2 on the open unit
disk and find exact formulas for distances ||Cφ - Cψ|| between composition operators. The selfmaps φ and ψ involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin. |
Acceso al artículo completo |