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banach space
Composition Operator
Spectrum
Weighted Space
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Spectra of weighted algebras of holomorphic functions
Spectra of weighted algebras of holomorphic functions,10.1007/s0020900804440,Mathematische Zeitschrift,Daniel Carando,Pablo SevillaPeris
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Spectra of weighted algebras of holomorphic functions
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Citations: 1
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Daniel Carando
,
Pablo SevillaPeris
We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding
weighted space
is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach–Stone type question is addressed.
Journal:
Mathematische Zeitschrift  MATH Z
, vol. 263, no. 4, pp. 887902, 2009
DOI:
10.1007/s0020900804440
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(
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Journal:
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Felix Cabello Sanchez
,
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Citations
(1)
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
Daniel Carando
,
Domingo García
,
Manuel Maestre
,
Pablo SevillaPeris
Journal:
Topology
, vol. 48, no. 2, pp. 5465, 2009