THE GOHBERG LEMMA, COMPACTNESS, AND ESSENTIAL SPECTRUM OF OPERATORS ON COMPACT LIE GROUPS

被引：14

作者：

Dasgupta, Aparajita ^{[1
]}

Ruzhansky, Michael ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, 180 Queens Gate, London SW7 2AZ, England

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2016年 / 128卷

基金：

英国工程与自然科学研究理事会;

关键词：

PSEUDODIFFERENTIAL-OPERATORS;

D O I：

10.1007/s11854-016-0005-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a version of the Gohberg Lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators. As a consequence, we obtain several results on bounds for the essential spectrum and a criterion for an operator to be compact. The conditions are given in terms of the matrix-valued symbols of operators.

引用

页码：179 / 190

页数：12

共 13 条

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