Some notes on L-projections on Fourier-Stieltjes algebras

Subject Areas : History and biography

M. Shahrabi Farahani ¹ , S. Moayeri ² , M. Ghahramani ³

1 - Department of Mathematical Sciences, Isfahan Uinversity of Technology, Isfahan 84156-83111, Iran
2 - Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Iran
3 - Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran 14676-86831, Iran

Received: 2012-01-01 Accepted : 2012-01-01 Published : 2012-03-01

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

Abstract :

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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