Journal of the Australian Mathematical Society | |
Constructions of the maximal strongly character invariant segal algebras and their applications | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912040543519ZK.pdf | 326KB | download |