Geodesic
Pointwise multiplication operators on weighted Banach spaces of analytic functions
Studia Mathematica, Tome 137 (1999) no. 2, pp. 177-194

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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 $M'_φ$.
DOI : 10.4064/sm-137-2-177-194
Keywords: weighted Banach spaces of analytic functions, pointwise multiplication operator, essential norm, closed range, approximative point spectrum, maximal ideal space of $H^∞$, Shilov boundary, Gleason part, hypercyclic operator, chaotic operator

J. Bonet 1 ;  1 ;  1

1 
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J. Bonet;  ;  . Pointwise multiplication operators on weighted Banach spaces of analytic functions. Studia Mathematica, Tome 137 (1999) no. 2, pp. 177-194. doi: 10.4064/sm-137-2-177-194

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