ON THE SPECTRUM OF DIFFERENCE RELATIONS AND DIFFERENTIAL OPERATORS IN WEIGHTED SPACES OF SEQUENCES AND FUNCTIONS

Besaeva S. B.

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ON THE SPECTRUM OF DIFFERENCE RELATIONS AND DIFFERENTIAL OPERATORS IN WEIGHTED SPACES OF SEQUENCES AND FUNCTIONS

机译：序列和函数加权空间中的微分关系和微分算子的谱

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摘要

Spectral properties are described for difference relations defined in weighted spaces of sequences of vectors. All conceivable conditions imposed on the weight are taken into account. In the proofs, a similarity transformation is employed to reshape the relation in question to another relation in a nonweighted space. The results are applied to the spectrum description for a differential operator acting in a weighted space of measurable functions.

机译：描述了在矢量序列的加权空间中定义的差异关系的光谱特性。考虑了施加在重量上的所有可能的条件。在证明中，采用相似变换将所讨论的关系重塑为非加权空间中的另一个关系。将结果应用于在可测量函数的加权空间中作用的微分算子的频谱描述。

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《St. Petersburg mathematical journal》 |2015年第4期|共15页
作者
Besaeva S. B.;
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正文语种 eng
中图分类数学;
关键词
Linear relation; spectrum of a linear difference ratio; spectrum of a differential operator; resolvent; similarity transformation;

机译：线性关系;线性差比谱;微分算子谱;溶剂;相似度变换;

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专利

1. ON THE SPECTRUM OF DIFFERENCE RELATIONS AND DIFFERENTIAL OPERATORS IN WEIGHTED SPACES OF SEQUENCES AND FUNCTIONS [J] . Besaeva S. B. St. Petersburg mathematical journal . 2015,第4期

机译：序列和函数加权空间中的微分关系和微分算子的谱
2. Spectrum of weighted composition operators part IV spectrum and essential spectra of weighted composition operators in spaces of smooth functions on [0,1] [J] . Kitover A. K. Positivity . 2017,第3期

机译：加权组成算子的光谱在平稳函数空间中的加权组成算子的第IV频谱和基本光谱[0,1]
3. DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS [J] . ELKE WOLF Glasgow Mathematical Journal . 2010,第2期

机译：加权自同函数的Bergman空间和加权Banach空间之间的组合算符的差异
4. Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces [C] . Flavia Colonna, Maria Tjani Workshop on Problems and Recent Methods in Operator Theory . 2017

机译：加权组成算子从分析函数的Banach空间进入Bloch型空间
5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. Compact differences of weighted composition operators on the weighted Bergman spaces [O] . Maocai Wang, Xingxing Yao, Fen Chen -1

机译：加权Bergman空间上加权复合算子的紧致差。
7. Spectrum of Weighted Composition Operators Part IV: Spectrum and essential spectra of weighted composition operators in spaces of smooth functions on $[0,1]$ [O] . Kitover, Arkady 2016

机译：加权复合算子的谱第四部分：谱和谱光滑空间中加权复合算子的本质谱函数$ [0,1] $

ON THE SPECTRUM OF DIFFERENCE RELATIONS AND DIFFERENTIAL OPERATORS IN WEIGHTED SPACES OF SEQUENCES AND FUNCTIONS

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