数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1330-1338.doi: 10.1007/s10473-019-0511-0

• 论文 • 上一篇    下一篇

THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

闫成   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
  • 收稿日期:2018-01-02 修回日期:2018-12-12 出版日期:2019-10-25 发布日期:2019-11-11
  • 作者简介:Cheng YAN,E-mail:yanchengggg@163.com
  • 基金资助:
    This research was partly supported by NSFXC (2018D01C073).

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).

摘要: 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.

关键词: Figà-Talamanca-Herz algebra, approximation property, weight

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

中图分类号: 

  • 46L51