The Closeness and Closability Criteria for Infinitesimal Operators of Certain Semigroups

A. G. Chshiev

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The Closeness and Closability Criteria for Infinitesimal Operators of Certain Semigroups

机译：某些半群的无穷小算子的接近性和闭合性准则

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摘要

We consider generators of certain operator semigroups and study the closeness and closability properties of certain generators (in the operator class). We obtain the necessary and sufficient conditions for these properties.

机译：我们考虑某些算子半群的生成器，并研究某些算子（在算子类中）的紧密性和闭合性。我们获得了这些特性的必要和充分条件。

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《Russian mathematics》 |2011年第8期|共9页
作者
A. G. Chshiev;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
operator semigroups; linear relation; infinitesimal operator; semigroup generator;

机译：算子半群;线性关系;无穷算子;半群生成器;

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专利

1. The Closeness and Closability Criteria for Infinitesimal Operators of Certain Semigroups [J] . A. G. Chshiev Russian mathematics . 2011,第8期

机译：某些半群的无穷小算子的接近性和闭合性准则
2. The infinitesimal operator for the semigroup of the Frobenius-Perron operator from image sequence data: Vector fields and transport barriers from movies [J] . Santitissadeekorn N, Bollt EM Chaos . 2007,第2期

机译：Frobenius-Perron算子的半群的无穷小算子（来自图像序列数据）：电影的矢量场和传输障碍
3. ABOUT NILPOTENT Cn-SEMIGROUPS OF OPERATORS IN THE HILBERT SPACES AND CRITERIA FOR SIMILARITY TO THE INTEGRATION OPERATOR [J] . G. V LUKASHENKO, G. M. GUBREEV Methods of Functional Analysis and Topology . 2008,第1期

机译：关于希尔伯特空间中算子的能级Cn-半群和与积分算子相似的判据
4. A Closer Look at Local Aggregation Operators in Point Cloud Analysis [C] . Ze Liu, Han Hu, Yue Cao, European Conference on Computer Vision . 2020

机译：仔细研究点云分析中的本地聚合运算符
5. SEMIGROUPS OF COMPOSITION OPERATORS AND THE CESARO OPERATOR ON H('P)(D) (BERGMAN SPACE, INFINITESIMAL GENERATOR) [D] . SISKAKIS, ARISTOMENIS GEORGIOS 1985

机译：H（'P）（D）（Bergman空间，无限模拟发电机）上的合成算子和CESARO算子的半群
6. Operator-bound GalR dimers close DNA loops by direct interaction: tetramerization and inducer binding [O] . Szabolcs Semsey, Mark Geanacopoulos, Dale E.A. Lewis, 2002

机译：操纵子结合的GalR二聚体通过直接相互作用封闭DNA环：四聚化和诱导剂结合
7. Closable operators and semigroups [O] . Neil Falkner 1983

机译：可密封的操作员和半群
8. Transport Coefficients Close to the Mobility Edge and Nonlinear sigma Model Composite Operators [R] . Castellani, C., Kotliar, G. 1987

机译：传输系数接近于移动边缘和非线性sigma模型复合算子

The Closeness and Closability Criteria for Infinitesimal Operators of Certain Semigroups

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