Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space

赵转萍

您当前的位置：

首页 >

文章列表页 >

Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space

更新时间：2026-09-14

- Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space
- Hilbert空间上最终范数连续半群的扰动
- Vol. 30, Issue 4, Pages: 312-314(2009)
- 作者机构：
  
  山西大学商务学院,山西,太原,030031
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2009
- 稿件说明：
移动端阅览
赵转萍. Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space[J]. 2009, 30(4): 312-314.
DOI：

赵转萍. Perturbation of Eventually Norm Continuous Semigroups on Hilbert Space[J]. 2009, 30(4): 312-314. DOI：

摘要

在算子半群扰动的基础上

对一类型半群即最终范数连续半群的扰动进行了研究

得到了Hilbert空间中最终范数连续半群的一个新的扰动结果

使得半群扰动的结果更加丰富.

Abstract

The perturbation of eventually norm continuous semigroups is studied on the basis of operator semigroups perturbation.A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained

which makes the perturbation of the semigroups more abundant.

关键词

Keywords

references

Pazy A.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].New York:Springer-verlag,1983.

You Puhong.Characteristic conditions for a C0semigroups with continuity in the uniform operator topology for t>0in Hilbert space[J].Proc.Amer.Math.Soc.,1992,116:991-997.

Mennaoui O E,Engel K J.On the characterization of eventually norm-continuous semigroups in Hilbert space[J].Arch.Math.,1994,63:437-440.

Blasco O,Martinez J.Norm continuity and related notions for semigroups on Banach space[J].Arch.Math.,1996,66:470-478.

Xu Genqi.Eventually norm continuous semigroups on Hilbert space and perturbation[J].Math.Anal.Appl.,2004,289:493-504.

Blake M D.A spectral bound for asymptotically norm continuous semigroups[J].J.Operator Theory,2001,45:111-130.

Zhang L P.The Characteristic of eventually uniformly continuous C0semigroups on a Hilbert space[J].SystemsScience and Mathematics Science,1999,12:49-54.

Zhang L P.Characteristic conditions for eventually normed continuous semigroups on a Hilbert space[J].ActaMath.Sinica,2003,46(3):439-444.

郑权.强连续线性算子半群[M].武汉:华中科技大学出版社,1994.

Engel K J,Nagel R.One-parameter Semigroups for Linear Evolution Equation(Graduate Texts in Mathematics)[M].Berlin/New York:Springer-Verlag,2000.

张蒙蒙.最终可微半群与最终范数连续半群的相对有界扰动[J].太原科技大学学报,2007,28(5):339-341.Zhang Mengmeng.Relatively bounded perturbations of eventually differentiable and eventually norm-continuoussemigroups[J].Journal of Taiyuan University of Science and Technology,2007,28(5):339-341.(in Chinese)

赵转萍,张连平.最终范数连续半群的扰动[J].山西大学学报(自然科学版),2006,29(1):13-15.Zhao Zhuanping,Zhang Lianping.Perturbation of eventually norm-continuous semigroups[J].Journal of ShanxiUniversity(Natural Science Edition),2006,29(1):13-15.(in Chinese)

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

High⁃Precision Photoeletric Coordinate Positioning Technology Based on Transformer⁃FPGA Collaborative Feature Modeling

Research Progress on Single⁃Photon Detection for Quantum Information About Mechanisms，Devices and Circuit Design

PEG⁃Like Polymers Based on Low Molecular Weight PEI as Gene Vectors

Research on the Optimal Combination of Tail⁃Beat Frequency and Swing of Fish During Self⁃Propelled Swimming

A Meta⁃Learning and VAE⁃GAN Based META⁃VAEGAN⁃DNN Method for Network Intrusion Detection

Related Author

No data

Related Institution

No data

⁰