On the Functorial Properties of the p-Analog of the Fourier-Stieltjes Algebras

Mohammad Ali Ahmadpoor; Marzieh Shams Yousefi

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On the Functorial Properties of the p-Analog of the Fourier-Stieltjes Algebras

机译：On the Functorial Properties of the p-Analog of the Fourier-Stieltjes Algebras

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摘要

In this paper, some known results about the functorial properties of the Fourier-Stieltjes algebra, B(G), will be generalized. First of all, the idempotent theorem on the Fourier-Stieltjes algebra will be promoted and linked to the p-analog one. Next, the p-analog of the π-Fourier space introduced by Arsac will be given, and by taking advantage of the theory of ultrafilters, the connection between the dual space of the algebra of p-pseudofunctions and the p-analog of the π-Fourier space will be fully investigated. As the main result, one of the significant and applicable functorial properties of the p-analog of the Fourier-Stieltjes algebras will be achieved.

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来源
《Iranian Journal of Science》 |2023年第1期|109-120|共12页
作者
Mohammad Ali Ahmadpoor; Marzieh Shams Yousefi;
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作者单位

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran;

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正文语种英语
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p-analog of the Fourier-Stieltjes algebras; π-Fourier space; Ultrafilters; p-pseudofunctions; QSL_p-spaces;

On the Functorial Properties of the p-Analog of the Fourier-Stieltjes Algebras

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