Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems

Agibalova Anna V.; Lunyov Anton A.; Malamud Mark M.; Oridoroga Leonid L.

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Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems

机译：一阶系统生成的正常和光谱运算符一维扰动的完整性

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摘要

The paper is concerned with the completeness property of rank one perturbations of the unperturbed operators generated by special boundary value problems (BVP) for the following 2 x 2 system

机译：本文涉及由特殊边值问题（BVP）产生的不受干扰的运营商的排名的完整性属性（BVP）为以下2 x 2系统

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《Integral equations and operator theory》 |2019年第4期|共35页
作者
Agibalova Anna V.; Lunyov Anton A.; Malamud Mark M.; Oridoroga Leonid L.;
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作者单位

Donetsk Natl Univ Univ Skaya Str 24 UA-83055 Donetsk Ukraine;

Facebook Inc 1 Hacker Way Menlo Pk CA 94025 USA;

RUDN Univ Peoples Friendship Univ Russia 6 Miklukho Maklaya St Moscow 117198 Russia;

Donetsk Natl Univ Univ Skaya Str 24 UA-83055 Donetsk Ukraine;

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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
Systems of ordinary differential equations; Normal operator; Completeness of root vectors; Resolvent operator; Rank one perturbation; Riesz basis property;

机译：常微分方程的系统;正常运营商;根向量的完整性;解决操作员;排名一扰动;RIESZ基本财产;

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专利

1. Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems [J] . Agibalova Anna V., Lunyov Anton A., Malamud Mark M., Integral equations and operator theory . 2019,第4期

机译：一阶系统生成的正常和光谱运算符一维扰动的完整性
2. SPECTRAL THEORY OF RANK ONE PERTURBATIONS OF NORMAL COMPACT OPERATORS [J] . Baranov A. D. St. Petersburg mathematical journal . 2019,第5期

机译：常规紧凑型运算符排名的光谱理论
3. Spectral decomposability of rank-one perturbations of normal operators [J] . Foias C., Jung I.B., Ko E., Journal of Mathematical Analysis and Applications . 2011,第2期

机译：正规算子的一级扰动的谱可分解性
4. On spectral properties of weighted shift operators generated by mappings with saddle points in L_p [C] . Justyna Makowska Workshop on Geometrical Methods in Physics . 2008

机译：关于L_P鞍座点生成的加权移位运算符的光谱特性
5. Spectral Properties of the Koopman Operator in the Analysis of Nonstationary Dynamical Systems. [D] . Mohr, Ryan M. 2014

机译：非平稳动力系统分析中的Koopman算子的光谱性质。
6. SPECTRAL REPRESENTATION OF SEMIGROUPS OF NORMAL OPERATORS [O] . Cassius Ionescu Tulcea 1958

机译：正常算子半群的谱表示
7. Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators [O] . Baranov, Anton D., Yakubovich, Dmitry V. 2016

机译：非自伴点一维的完备性和谱合成自相关算子的扰动
8. COMPLETENESS OF THE WAVE OPERATORS FOR PERTURBATIONS OF UNIFORMLY PROPAGATIVE SYSTEMS. [R] . schulenberger,john r. wilcox,calvin h. 1970

机译：波动算子对于均匀传播系统扰动的完整性。

Completeness Property of One-Dimensional Perturbations of Normal and Spectral Operators Generated by First Order Systems

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