TY - JOUR
T1 - Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions
AU - Bonet, José
AU - Galindo, Pablo
AU - Lindström, Mikael
N1 - Funding Information:
* Corresponding author. E-mail addresses: jbonet@mat.upv.es (J. Bonet), galindo@uv.es (P. Galindo), mlindstr@abo.fi (M. Lindström). 1 Partially supported by MEC-FEDER Project MTM2004-02262 and net MTM2006-26627-E. 2 Partially supported by MEC-FEDER Project BFM2003-07540. 3 Partially supported by the Academy of Finland.
PY - 2008/4/15
Y1 - 2008/4/15
N2 - We determine the spectra of composition operators acting on weighted Banach spaces Hv∞ of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. We also investigate in this case the growth rate of the Koenigs eigenfunction and its relation with the essential spectral radius of the composition operator.
AB - We determine the spectra of composition operators acting on weighted Banach spaces Hv∞ of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. We also investigate in this case the growth rate of the Koenigs eigenfunction and its relation with the essential spectral radius of the composition operator.
KW - Composition operators
KW - Essential spectral radius
KW - Koenigs eigenfunction
KW - Spectrum
KW - Weighted Bergman spaces of infinite order
UR - http://www.scopus.com/inward/record.url?scp=38049018031&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2007.09.006
DO - 10.1016/j.jmaa.2007.09.006
M3 - Article
AN - SCOPUS:38049018031
SN - 0022-247X
VL - 340
SP - 884
EP - 891
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -