Weakly compact composition operators on analytic vector-valued function spaces

José Bonet*, Paweł Domański, Mikael Lindström

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

31 Citations (Scopus)

Abstract

Let X be a Banach space. It is proved that the composition operator on X - valued Hardy spaces, weighted Bergman spaces and Bloch spaces is weakly compact or Rosenthal if and only if both id: X → X and the corresponding composition operator on scalar valued spaces are weakly compact or Rosenthal, respectively.

Original languageEnglish
Pages (from-to)233-248
Number of pages16
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume26
Issue number1
Publication statusPublished - 2001
MoE publication typeA1 Journal article-refereed

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