Interpolation sets and the size of quotients of function spaces on a locally compact group
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Interpolation sets and the size of quotients of function spaces on a locally compact groupData de publicació
2016-03Editor
American Mathematical SocietyCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.ams.org/journals/tran/2017-369-01/S0002-9947-2016-06662-3/home.html#A ...Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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 ... [+]
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. [-]
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Trans. Amer. Math. Soc. 369 (2017)Drets d'accés
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