Pointwise multiplication operators on weighted Banach spaces of analytic functions

J. Bonet; P. Domański; M. Lindström

doi:10.4064/sm-137-2-177-194

Pointwise multiplication operators on weighted Banach spaces of analytic functions

J. Bonet
, P. Domański
, M. Lindström

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

36 Citeringar (Scopus)

Sammanfattning

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

Originalspråk	Svenska
Sidor (från-till)	177-194
Antal sidor	18
Tidskrift	Studia Mathematica
Volym	137
Nummer	2
DOI	https://doi.org/10.4064/sm-137-2-177-194
Status	Publicerad - 1999
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Nyckelord

Approximative point spectrum
Chaotic operator
Closed range
Essential norm
Gleason part
Hypercyclic operator
Maximal ideal space of H∞
Pointwise multiplication operator
Shilov boundary
Weighted Banach spaces of analytic functions

Åtkomst av dokument

10.4064/sm-137-2-177-194

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https://www.mendeley.com/catalogue/922a5bdd-2075-3f3d-a90f-7e26acce44f1/

Citera det här

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KW - Essential norm

KW - Gleason part

KW - Hypercyclic operator

KW - Maximal ideal space of H∞

KW - Pointwise multiplication operator

KW - Shilov boundary

KW - Weighted Banach spaces of analytic functions

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