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 language | English |
|---|---|
| Pages (from-to) | 233-248 |
| Number of pages | 16 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 26 |
| Issue number | 1 |
| Publication status | Published - 2001 |
| MoE publication type | A1 Journal article-refereed |