Constructions of the maximal strongly character invariant segal algebras and their applications

Journal of the Australian Mathematical Society

Chang-Pao Chen¹ 

关键词: primary 22 B 10;    43 A 20;    secondary 43 A 15;    46 J 15;   

DOI  :  10.1017/S1446788700024800

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let G denote any locally compact abelian group with the dual group Γ. We construct a new kind of subalgebra L1(G) ⊗ΓS of L1(G) from given Banach ideal S of L1(G). We show that L1(G) ⊗гS is the larger amoung all strongly character invariant homogeneous Banach algebras in S. when S contains a strongly character invariant Segal algebra on G, it is show that L1(G) ⊗гS is also the largest among all strongly character invariant Segal algebras in S. We give applications to characterizations of two kinds of subalgebras of L1(G)-strongly character invariant Segal algebras on G and Banach ideal in L1(G) which contain a strongly character invariant Segal algebra on G.

【 授权许可】

Unknown