Schur spaces and weighted spaces of type <i>H</i> ^&#8734

Abstract

We extend some results related to composition operators on H_v(G) to arbitrary linear operators on H_v0 (G) and H_v(G). We also give examples of rank-one  operators on H_v(G) which cannot be approximated by composition operators.

Keywords: Weighted Banach spaces of holomorphic functions, Schur spaces, weakly compact operators, compact operators, property (V)

Quaestiones Mathematicae 35(2012), 463–470