A Characterization of Compact Pseudo-Differential Operators on S1

被引：26

作者：

Molahajloo, Shahla ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada

来源：

PSEUDO-DIFFERENTIAL OPERATORS: ANALYSIS, APPLICATIONS AND COMPUTATIONS | 2011年 / 213卷

关键词：

Pseudo-differential operators; compact operators; Catkin algebra; Fredholmness; essential spectra; ESSENTIAL SPECTRUM;

D O I：

10.1007/978-3-0348-0049-5_3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first prove that a pseudo-differential operator of symbol of order 0 is essentially normal. Then by using Gohber's lemma and a result from [6], a necessary and sufficient condition for compactness of pseudo-differential operators on the unit circle is given.

引用

页码：25 / 29

页数：5

共 13 条

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