Cluster values of analytic functions on a Banach space

dc.creatorAron, Richard Martin
dc.creatorCarando, Daniel Germán
dc.creatorGamelin, T. W.
dc.creatorLassalle, Silvia Beatriz
dc.creatorMaestre, Manuel
dc.date.accessioned2017-07-10T17:47:52Z
dc.date.accessioned2018-11-06T12:58:31Z
dc.date.available2017-07-10T17:47:52Z
dc.date.available2018-11-06T12:58:31Z
dc.date.created2017-07-10T17:47:52Z
dc.date.issued2012-06
dc.identifierAron, Richard Martin; Carando, Daniel Germán; Gamelin, T. W.; Lassalle, Silvia Beatriz; Maestre, Manuel; Cluster values of analytic functions on a Banach space; Springer; Mathematische Annalen; 353; 2; 6-2012; 293-303
dc.identifier0025-5831
dc.identifierhttp://hdl.handle.net/11336/19995
dc.identifier1432-1807
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1871774
dc.description.abstractWe investigate uniform algebras of bounded analytic functions on the unit ball of a complex Banach space. We prove several cluster value theorems, relating cluster sets of a function to its range on the fibers of the spectrum of the algebra. These lead to weak versions of the corona theorem for the open unit balls of c0 and ℓ2, in which all but one of the functions comprising the corona data extend to be weak-star continuous on the closed unit ball.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-011-0681-0
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-011-0681-0
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCLUSTER VALUE
dc.subjectBOUNDED ANALYTIC FUNCTIONS
dc.subjectBANACH SPACES
dc.subjectSPECTRUM
dc.titleCluster values of analytic functions on a Banach space
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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