On the Arens regularity of Frechet algebras and their biduals

被引:0
|
作者
Alimohammadi, Z. [1 ]
Rejali, A. [1 ]
机构
[1] Univ Isfahan, Dept Math, Esfahan, Iran
关键词
Arens regular; locally convex space; Frechet algebra; weakly almost periodic function; CONVOLUTION;
D O I
10.1142/S1793557123500626
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the concept of weakly almost periodic functions on Frechet algebras. For a Frechet algebra A, we show that WAP(A) = wap(A). We also show that A** is Arens regular if and only if both A and WAP(A)* are Arens regular. Finally, for a sequence of Frechet algebras (A(n)), we prove that the Frechet algebra l(1)-Pi(n is an element of N) A(n) is Arens regualr if and only if each A(n) is Arens regular.
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页数:15
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