DECOMPOSABILITY

作品数:6被引量:0H指数:0
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相关领域:自动化与计算机技术更多>>
相关作者:何淦瞳更多>>
相关机构:贵州大学更多>>
相关期刊:《Acta Mathematica Sinica,English Series》《Acta Mathematicae Applicatae Sinica》《International Journal of Communications, Network and System Sciences》《Frontiers of Mathematics in China》更多>>
相关基金:国家自然科学基金更多>>
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The Decomposability for Operator Matrices and Perturbations
《Acta Mathematica Sinica,English Series》2023年第3期497-512,共16页Xiao Li WANG ALATANCANG 
Supported by National Natural Science Foundation of China(Grant No.11761029);Inner Mongolia Higher Education Science and Technology Research Project(Grant Nos.NJZY22323 and NJZY22324);Inner Mongolia Natural Science Foundation(Grant No.2018MS07020)。
Let X and Y be Banach spaces.For A∈L(X),B∈L(Y),C∈L(Y,X),let MCbe the operator matrix defined on X⊕Y by M_(C)=(AC0B)∈L(X⊕Y).In this paper we investigate the decomposability for MC.We consider Bishop’s property(...
关键词:Bishop’s property(β) decomposition property(δ) Dunford’s property(C) DECOMPOSABILITY operator matrix PERTURBATION local spectral theory 
The Local Spectral Properties of Extended Hamilton Operators
《Acta Mathematica Sinica,English Series》2018年第7期1110-1120,共11页Jun Li SHEN Guo Xing JI Alatancang 
Supported by the National Natural Science Foundation of China(Grant No.11601130);the Natural Science Foundation of the Department of Education of He’nan Province(Grant Nos.16A110033 and 17A110005)
In this paper, we introduce the class of extended Hamilton operators and study various properties of this class. We examine the decomposability of extended Hamilton operators. In addition, we prove that an extended Ha...
关键词:Extended Hamilton operator property (β) DECOMPOSABILITY subscalar operator Weyl's theorem 
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