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dc.contributor.author
Aron, Richard Martin  
dc.contributor.author
Dimant, Veronica Isabel  
dc.contributor.author
Lassalle, Silvia Beatriz  
dc.contributor.author
Maestre, Manuel  
dc.date.available
2021-07-22T11:36:07Z  
dc.date.issued
2019-09  
dc.identifier.citation
Aron, Richard Martin; Dimant, Veronica Isabel; Lassalle, Silvia Beatriz; Maestre, Manuel; Gleason parts for algebras of holomorphic functions in infinite dimensions; Springer; Revista Matematica Complutense; 33; 2; 9-2019; 415-436  
dc.identifier.issn
1139-1138  
dc.identifier.uri
http://hdl.handle.net/11336/136633  
dc.description.abstract
For a complex Banach space X with open unit ball BX, consider the Banach algebras H∞(BX) of bounded scalar-valued holomorphic functions and the subalgebra Au(BX) of uniformly continuous functions on BX. Denoting either algebra by A, we study the Gleason parts of the set of scalar-valued homomorphisms M(A) on A. Following remarks on the general situation, we focus on the case X= c, giving a complete characterization of the Gleason parts of M(Au(Bc0)) and, among other things, showing that every fiber in M(H∞(Bc0)) over a point in Bℓ∞ contains 2 c discs lying in different Gleason parts.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ALGEBRAS OF HOLOMORPHIC FUNCTIONS  
dc.subject
BOUNDED ANALYTIC FUNCTIONS  
dc.subject
GLEASON PARTS  
dc.subject
SPECTRUM  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Gleason parts for algebras of holomorphic functions in infinite dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-11-27T18:10:09Z  
dc.journal.volume
33  
dc.journal.number
2  
dc.journal.pagination
415-436  
dc.journal.pais
España  
dc.description.fil
Fil: Aron, Richard Martin. Kent State University; Estados Unidos  
dc.description.fil
Fil: Dimant, Veronica Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de San Andrés; Argentina  
dc.description.fil
Fil: Lassalle, Silvia Beatriz. Universidad de San Andrés; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Maestre, Manuel. Universidad de Valencia; España  
dc.journal.title
Revista Matematica Complutense  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13163-019-00324-z  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s13163-019-00324-z  

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