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dc.contributor.author
Aron, Richard Martin  
dc.contributor.author
Carando, Daniel Germán  
dc.contributor.author
Lassalle, Silvia Beatriz  
dc.contributor.author
Maestre, Manuel  
dc.date.available
2018-08-14T17:42:39Z  
dc.date.issued
2016-04  
dc.identifier.citation
Aron, Richard Martin; Carando, Daniel Germán; Lassalle, Silvia Beatriz; Maestre, Manuel; Cluster values of holomorphic functions of bounded type; American Mathematical Society; Transactions Of The American Mathematical Society; 368; 4; 4-2016; 2355-2363  
dc.identifier.issn
0002-9947  
dc.identifier.uri
http://hdl.handle.net/11336/55416  
dc.description.abstract
We study the cluster value theorem for Hb(X), the Fréchet algebra of holomorphic functions bounded on bounded sets of X. We also describe the (size of) fibers of the spectrum of Hb(X). Our results are rather complete whenever X has an unconditional shrinking basis and for X = ℓ1. As a byproduct, we obtain results on the spectrum of the algebra of all uniformly continuous holomorphic functions on the ball of ℓ1.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Analytic Functions of Bounded Type  
dc.subject
Banach Space  
dc.subject
Cluster Value  
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Fiber  
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Spectrum  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Cluster values of holomorphic functions of bounded 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
2018-08-14T13:59:10Z  
dc.journal.volume
368  
dc.journal.number
4  
dc.journal.pagination
2355-2363  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Aron, Richard Martin. Kent State University; Estados Unidos  
dc.description.fil
Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.description.fil
Fil: Lassalle, Silvia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.description.fil
Fil: Maestre, Manuel. Universidad de Valencia; España  
dc.journal.title
Transactions Of The American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/tran/6407  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/tran/2016-368-04/S0002-9947-2015-06407-1/home.html