Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (5): 1330-1338.doi: 10.1007/s10473-019-0511-0

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THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

Cheng YAN   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • Received:2018-01-02 Revised:2018-12-12 Online:2019-10-25 Published:2019-11-11
  • Supported by:
    This research was partly supported by NSFXC (2018D01C073).

Abstract: Let G be a discrete group with a weight w on it. For p>1, we define a class of generalized Figà-Talamanca-Herz algebras Ap(G, w, α, θ) and obtain their (w, α, θ)-Dual spaces. Moreover, we show that the generalized Figà-Talamanca-Herz algebras have an approximation property when G is a proper discrete group and satisfies the p-RD property.

Key words: Figà-Talamanca-Herz algebra, approximation property, weight

CLC Number: 

  • 46L51
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