2024-03-29T13:51:15Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1639962021-06-10T14:52:10Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Filali, M.
author
Galindo, Jorge
2016-11-03T10:17:32Z
2016-11-03T10:17:32Z
2016-03
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.
http://hdl.handle.net/10234/163996
https://doi.org/10.1090/tran6662
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.
eng
© Copyright 2016 American Mathematical Society
Almost periodic functions
Fourier-Stieltjes algebra
weakly almost periodic
semigroup compactification
almost periodic compactification
interpolation sets
Interpolation sets and the size of quotients of function spaces on a locally compact group
info:eu-repo/semantics/article
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URL
https://repositori.uji.es/xmlui/bitstream/10234/163996/1/FilaliGalindo_quotients_2nd.pdf
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URL
https://repositori.uji.es/xmlui/bitstream/10234/163996/7/FilaliGalindo_quotients_2nd.pdf.txt
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