On the density of the Fourier-Stieltjes algebra

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• 作者：Sé ; bastien Guex ^{guex@ualberta.ca}
• 关键词：Locally compact group ; Representation ; Interpolation couple ; Positive-definite function ; Coefficient function ; QSLp-space ; Figà ; -Talamanca&ndash ; Herz algebra ; Multiplier algebra ; Amenability ; Order isomorphism
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2013
• 出版时间：1 October, 2013
• 年：2013
• 卷：406
• 期：1
• 页码：237-242
• 全文大小：401 K

文摘

Let be a locally compact group and . Let denote the Fig¨¤-Talamanca-Herz algebra and its pointwise multiplier algebra. In this paper, we shall introduce two new spaces of multipliers of , defined as coefficient functions of certain representations of on some interpolation couples. Then we shall show that, in the amenable case, the Fourier-Stieltjes algebra is dense in , and that , as an ordered space, is a complete invariant for .