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dc.contributor.author
Muro, Luis Santiago Miguel  
dc.date.available
2023-05-08T13:18:19Z  
dc.date.issued
2012-05  
dc.identifier.citation
Muro, Luis Santiago Miguel; On algebras of holomorphic functions of a given type; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 389; 2; 5-2012; 792-811  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/196660  
dc.description.abstract
We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert–Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan–Thullen type theorem.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
holomorphy types  
dc.subject
polynomial ideals  
dc.subject
Fréchet algebras  
dc.subject
Riemann domains  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On algebras of holomorphic functions of a given type  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-04-26T16:43:46Z  
dc.journal.volume
389  
dc.journal.number
2  
dc.journal.pagination
792-811  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Muro, Luis Santiago Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2011.12.022  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X11011255  

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