Spectral Properties for Matrix Algebras

作     者：Fernandez, Carmen Galbis, Antonio Toft, Joachim 

作者机构：Univ Valencia Dept Anal Matemat Valencia Spain Linnus Univ Dept Math Vaxjo Sweden 

出 版 物：《JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS》 (傅立叶分析与应用杂志)

年 卷 期：2014年第20卷第2期

页      面：362-383页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：MEC FEDER [MTM2010-15200] GVA [Prometeo II/2013/013] 

主　　题：Off-diagonal decay of matrices Inverse closedness GRS-condition Spectral invariance Pseudodifferential operators Modulation spaces 

摘      要：We consider Banach algebras of infinite matrices defined in terms of a weight measuring the off-diagonal decay of the matrix entries. If a given matrix is invertible as an operator on we analyze the decay of its inverse matrix entries in the case where the matrix algebra is not inverse closed in the Banach algebra of bounded operators on To this end we consider a condition on sequences of weights which extends the notion of GRS-condition. Finally we focus on the behavior of inverses of pseudodifferential operators whose Weyl symbols belong to weighted modulation spaces and the weights lack the GRS condition.