Pointwise multiplication operators on weighted Banach spaces of analytic functions

Bonet, J.; Domański, P.; Lindström, M.

Bonet, J. ; Domański, P. ; Lindström, M.

Studia Mathematica, Tome 133 (1999), p. 177-194 / Harvested from The Polish Digital Mathematics Library

Résumé

For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_{φ}$ , $M_{φ} (f) = φ f$ , 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 $M_{φ}^{'}$ .

Publié le : 1999-01-01

Zbl 0957.46018

EUDML-ID : urn:eudml:doc:216683

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     author = {J. Bonet and P. Doma\'nski and M. Lindstr\"om},
     title = {Pointwise multiplication operators on weighted Banach spaces of analytic functions},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {177-194},
     zbl = {0957.46018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p177bwm}
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Bonet, J.; Domański, P.; Lindström, M. Pointwise multiplication operators on weighted Banach spaces of analytic functions. Studia Mathematica, Tome 133 (1999) pp. 177-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p177bwm/

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