Some notes on L-projections on Fourier-Stieltjes algebras

الموضوعات :

M. Shahrabi Farahani ¹ (Department of Mathematical Sciences, Isfahan Uinversity of Technology, Isfahan 84156-83111, Iran)
S. Moayeri ² (Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Iran)
M. Ghahramani ³ (Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran 14676-86831, Iran)

تاريخ الإرسال : 07 الأحد , صفر, 1433 تاريخ التأكيد : 07 الأحد , صفر, 1433 تاريخ الإصدار : 08 الخميس , ربيع الثاني, 1433

الکلمات المفتاحية: conditional expectation, L-projection, Fourier-Stieltjes algebra, locally compact group, spine of Fourier-Stieltjes algebra,

ملخص المقالة :

In this paper, we investigate the relation between L-projections and conditionalexpectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show thatcompactness of G plays an important role in this relation.

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