Compact Operators on Homogeneous Banach Spaces of Distributions on Locally Compact Abelian Groups

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• 作者：S. S. Pandey
• 关键词：Locally Compact Abelian Groups ; Homogeneous Banach spaces of Distribution ; Almost Invariant Operators and Compact Operators
• 刊名：Southeast Asian Bulletin of Mathematics
• 出版时间：June 2003
• 出版年：2003
• 期刊代码：137_0129-2021
• 类别：mat
• 卷：26
• 期：4
• 页码：611-624
• 数据来源：sp

摘要

In this paper, two theorems about the compactness of almost invariant operators on homogeneous Banach spaces of distributions (in the sense of Feichtinger [11]) defined on a locally compact abelian group are proved. Our theorems generalize the corresponding results of K. de Leeuw [3] and Tewari and Madan [18] for operators on homogeneous Banach spaces on the circle group and Segal algebras on a compact abelian groups, respectively.