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Interpolation sets and the size of quotients of function spaces on a locally compact group
dc.contributor.author | Filali, M. | |
dc.contributor.author | Galindo, Jorge | |
dc.date.accessioned | 2016-11-03T10:17:32Z | |
dc.date.available | 2016-11-03T10:17:32Z | |
dc.date.issued | 2016-03 | |
dc.identifier.citation | FILALI, Mahmoud; GALINDO, Jorge. Interpolation sets and the size of quotients of function spaces on a locally compact group. Transactions of the American Mathematical Society, 2016. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/163996 | |
dc.description.abstract | We devise a fairly general method for estimating the size of quotients between algebras of functions on a locally compact group. This method is based on the concept of interpolation sets and unifies the approaches followed by many authors to obtain particular cases. Among the applications we find, we obtain that the quotients WAP(G)/B(G) (G being a locally compact group in the class [IN] or a nilpotent locally compact group) and CB(G)/LUC(G) (G being any non-compact non-discrete locally compact group) contain a linearly isometric copy of \ell_\infty(\kappa(G)) where \kappa(G) is the compact covering number of G, and WAP(G), B(G) and LUC(G) refer, respectively, to the algebra of weakly almost periodic functions, the uniform closure of the Fourier-Stieltjes algebra and the bounded right uniformly continuous functions. | ca_CA |
dc.description.sponsorShip | The research of the second author was partially supported by the Spanish Ministry of Science (including FEDER funds), grant MTM2011-23118 and Fundació Caixa Castelló-Bancaixa, grant number P1$⋅$1B2014-35. | ca_CA |
dc.format.extent | 8 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Mathematical Society | ca_CA |
dc.relation.isPartOf | Trans. Amer. Math. Soc. 369 (2017) | ca_CA |
dc.rights | © Copyright 2016 American Mathematical Society | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Almost periodic functions | ca_CA |
dc.subject | Fourier-Stieltjes algebra | ca_CA |
dc.subject | weakly almost periodic | ca_CA |
dc.subject | semigroup compactification | ca_CA |
dc.subject | almost periodic compactification | ca_CA |
dc.subject | interpolation sets | ca_CA |
dc.title | Interpolation sets and the size of quotients of function spaces on a locally compact group | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1090/tran6662 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.ams.org/journals/tran/2017-369-01/S0002-9947-2016-06662-3/home.html#Abstract | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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