Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model"

doi:10.1016/j.sysconle.2006.06.016

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	Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model"
	Guo, Bao-Zhu; Wang, Jun-Min
	2006-12-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	55 期号:12 页码:1029-1032
摘要	In this note, we show, by means of an example, that the assumption of compactness in the Keldysh theorem in proving the completeness of root subspaces of non-self-adjoint operators cannot be ignored. This indicates a gap of the above mentioned paper and many other related papers in the proof of completeness for the root subspaces of beam-related problems. (c) 2006 Elsevier B.V. All rights reserved.
关键词	Keldysh theorem completeness root subspace generalized eigenvectors
DOI	10.1016/j.sysconle.2006.06.016
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000242336800009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3927
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min. Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model"[J]. SYSTEMS & CONTROL LETTERS,2006,55(12):1029-1032.
APA	Guo, Bao-Zhu,&Wang, Jun-Min.(2006).Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model".SYSTEMS & CONTROL LETTERS,55(12),1029-1032.
MLA	Guo, Bao-Zhu,et al."Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model"".SYSTEMS & CONTROL LETTERS 55.12(2006):1029-1032.