THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

doi:10.1007/s10473-019-0511-0

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

THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

闫成

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

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/Abstract

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 A_p(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 A_p(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

闫成. THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS[J]. 数学物理学报(英文版), 2019, 39(5): 1330-1338.

Cheng YAN. THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS[J]. Acta mathematica scientia,Series B, 2019, 39(5): 1330-1338.

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THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

THE APPROXIMATION PROPERTY OF GENERALIZED FIGÀ-TALAMANCA-HERZ ALGEBRAS

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