The Spectral Analysis of a Nuclear Resolvent Operator Associated with a Second Order Dissipative Differential Operator

被引：0

作者：

Ekin Uğurlu

Elgiz Bairamov

机构：

[1] Çankaya University,Department of Mathematics, Faculty of Arts and Sciences

[2] Ankara University,Department of Mathematics

来源：

Computational Methods and Function Theory | 2017年 / 17卷

关键词：

Dissipative operator; Trace class operator; Nuclear operator; Hilbert-Schmidt operator; Completeness theorem; Primary 47B44; Secondary 81Q12; 34B20; 47A10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show that the inverse operator is a non-selfadjoint trace class operator. Using Lidskiĭ’s theorem, we introduce a complete spectral analysis of the second order dissipative differential operator. Moreover, we give a trace formula for the trace class integral operator.

引用

页码：237 / 253

页数：16

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