Spectra of weighted composition operators on weighted banach spaces of analytic functions

R. Aron; M. Lindström

doi:10.1007/BF02772223

Spectra of weighted composition operators on weighted banach spaces of analytic functions

R. Aron^*
, M. Lindström

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

35 Citeringar (Scopus)

Sammanfattning

We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions H_vp^∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

Originalspråk	Engelska
Sidor (från-till)	263-276
Antal sidor	14
Tidskrift	Israel Journal of Mathematics
Volym	141
DOI	https://doi.org/10.1007/BF02772223
Status	Publicerad - 2004
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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title = "Spectra of weighted composition operators on weighted banach spaces of analytic functions",

abstract = "We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.",

author = "R. Aron and M. Lindstr{\"o}m",

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T1 - Spectra of weighted composition operators on weighted banach spaces of analytic functions

AU - Aron, R.

AU - Lindström, M.

PY - 2004

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N2 - We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

AB - We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

UR - https://www.scopus.com/pages/publications/3042675002

U2 - 10.1007/BF02772223

DO - 10.1007/BF02772223

M3 - Article

AN - SCOPUS:3042675002

SN - 0021-2172

VL - 141

SP - 263

EP - 276

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Spectra of weighted composition operators on weighted banach spaces of analytic functions

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