A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natur...
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todo:paper_00409383_v48_n2-4_p54_Carando2023-10-03T14:51:15Z A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions Carando, D. García, D. Maestre, M. Sevilla-Peris, P. Analytic manifold structure Fréchet algebra Symmetrically regular Banach space Weighted space of holomorphic functions In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = Cn. © 2009 Elsevier Ltd. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando |
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Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Analytic manifold structure Fréchet algebra Symmetrically regular Banach space Weighted space of holomorphic functions |
| spellingShingle |
Analytic manifold structure Fréchet algebra Symmetrically regular Banach space Weighted space of holomorphic functions Carando, D. García, D. Maestre, M. Sevilla-Peris, P. A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| topic_facet |
Analytic manifold structure Fréchet algebra Symmetrically regular Banach space Weighted space of holomorphic functions |
| description |
In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = Cn. © 2009 Elsevier Ltd. All rights reserved. |
| format |
JOUR |
| author |
Carando, D. García, D. Maestre, M. Sevilla-Peris, P. |
| author_facet |
Carando, D. García, D. Maestre, M. Sevilla-Peris, P. |
| author_sort |
Carando, D. |
| title |
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| title_short |
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| title_full |
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| title_fullStr |
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| title_full_unstemmed |
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| title_sort |
riemann manifold structure of the spectra of weighted algebras of holomorphic functions |
| url |
http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando |
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AT carandod ariemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT garciad ariemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT maestrem ariemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT sevillaperisp ariemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT carandod riemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT garciad riemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT maestrem riemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions AT sevillaperisp riemannmanifoldstructureofthespectraofweightedalgebrasofholomorphicfunctions |
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1807321660017082368 |