Pointwise multiplication operators on weighted Banach spaces of analytic functions
Volume 137 / 1999
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 $M'_φ$.
