Spectra of weighted composition operators on algebras of analytic functions on Banach spaces

Cheng Yuan; Ze-Hua Zhou

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 2, page 371-381
  • ISSN: 0011-4642

Abstract

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Let E be a complex Banach space, with the unit ball B E . We study the spectrum of a bounded weighted composition operator u C ϕ on H ∞ ( B E ) determined by an analytic symbol ϕ with a fixed point in B E such that ϕ ( B E ) is a relatively compact subset of E , where u is an analytic function on B E .

How to cite

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Yuan, Cheng, and Zhou, Ze-Hua. "Spectra of weighted composition operators on algebras of analytic functions on Banach spaces." Czechoslovak Mathematical Journal 61.2 (2011): 371-381. <http://eudml.org/doc/196537>.

@article{Yuan2011,
abstract = {Let $E$ be a complex Banach space, with the unit ball $B_E$. We study the spectrum of a bounded weighted composition operator $uC_\{\varphi \}$ on $H^\infty (B_E)$ determined by an analytic symbol $\varphi $ with a fixed point in $B_E$ such that $\varphi (B_E)$ is a relatively compact subset of $E$, where $u$ is an analytic function on $B_E$.},
author = {Yuan, Cheng, Zhou, Ze-Hua},
journal = {Czechoslovak Mathematical Journal},
keywords = {bounded analytic function spaces; weighted composition operators; essential norm; spectra; bounded analytic function space; weighted composition operator; essential norm; spectra},
language = {eng},
number = {2},
pages = {371-381},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Spectra of weighted composition operators on algebras of analytic functions on Banach spaces},
url = {http://eudml.org/doc/196537},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Yuan, Cheng
AU - Zhou, Ze-Hua
TI - Spectra of weighted composition operators on algebras of analytic functions on Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 371
EP - 381
AB - Let $E$ be a complex Banach space, with the unit ball $B_E$. We study the spectrum of a bounded weighted composition operator $uC_{\varphi }$ on $H^\infty (B_E)$ determined by an analytic symbol $\varphi $ with a fixed point in $B_E$ such that $\varphi (B_E)$ is a relatively compact subset of $E$, where $u$ is an analytic function on $B_E$.
LA - eng
KW - bounded analytic function spaces; weighted composition operators; essential norm; spectra; bounded analytic function space; weighted composition operator; essential norm; spectra
UR - http://eudml.org/doc/196537
ER -

References

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