A+ CATEGORY SCIENTIFIC UNIT

Pointwise multiplication operators on weighted Banach spaces of analytic functions

Volume 137 / 1999

J. Bonet, , Studia Mathematica 137 (1999), 177-194 DOI: 10.4064/sm-137-2-177-194

Abstract

For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.

Authors

  • J. Bonet


Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image