Schur spaces and weighted spaces of type <em>H</em> <sup>∞</sup>

Original Articles

Schur spaces and weighted spaces of type H ∞

Published in: Quaestiones Mathematicae
Volume 35 , issue 4 , 2012 , pages: 463–470
DOI: 10.2989/16073606.2012.742248
Author(s): Alejandro Miralles Instituto Universitario de Matemáticas y Aplicaciones de Castelló (IMAC), Departamento de Matemáticas, Spain
Keywords: Weighted Banach spaces of holomorphic functions , Schur spaces , weakly compact operators , compact operators , property (V) , Weighted Banach spaces of holomorphic functions , Schur spaces , weakly compact operators , compact operators , property (V)
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Abstract

We extend some results related to composition operators on H υ(G) to arbitrary linear operators on H υ0(G) and H υ(G). We also give examples of rank-one operators on H υ(G) which cannot be approximated by composition operators.
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