Relationships between Perturbations of a Linear Relation and Its Operator Part
In this study, we establish some relationships between perturbations of a linear relation and its operator part by constructing an operator, which is induced by two linear relations including their closedness, hermiticity, self-adjointness, various spectra, defect indices, and perturbation terms.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/9134363 |
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| _version_ | 1850221934430650368 |
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| author | Guixin Xu Meirong Zhang |
| author_facet | Guixin Xu Meirong Zhang |
| author_sort | Guixin Xu |
| collection | DOAJ |
| description | In this study, we establish some relationships between perturbations of a linear relation and its operator part by constructing an operator, which is induced by two linear relations including their closedness, hermiticity, self-adjointness, various spectra, defect indices, and perturbation terms. |
| format | Article |
| id | doaj-art-7124b3274ef24a9fb2cfddb898c95f11 |
| institution | OA Journals |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7124b3274ef24a9fb2cfddb898c95f112025-08-20T02:06:31ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/9134363Relationships between Perturbations of a Linear Relation and Its Operator PartGuixin Xu0Meirong Zhang1School of Mathematics and StatisticsDepartment of Mathematical SciencesIn this study, we establish some relationships between perturbations of a linear relation and its operator part by constructing an operator, which is induced by two linear relations including their closedness, hermiticity, self-adjointness, various spectra, defect indices, and perturbation terms.http://dx.doi.org/10.1155/2022/9134363 |
| spellingShingle | Guixin Xu Meirong Zhang Relationships between Perturbations of a Linear Relation and Its Operator Part Discrete Dynamics in Nature and Society |
| title | Relationships between Perturbations of a Linear Relation and Its Operator Part |
| title_full | Relationships between Perturbations of a Linear Relation and Its Operator Part |
| title_fullStr | Relationships between Perturbations of a Linear Relation and Its Operator Part |
| title_full_unstemmed | Relationships between Perturbations of a Linear Relation and Its Operator Part |
| title_short | Relationships between Perturbations of a Linear Relation and Its Operator Part |
| title_sort | relationships between perturbations of a linear relation and its operator part |
| url | http://dx.doi.org/10.1155/2022/9134363 |
| work_keys_str_mv | AT guixinxu relationshipsbetweenperturbationsofalinearrelationanditsoperatorpart AT meirongzhang relationshipsbetweenperturbationsofalinearrelationanditsoperatorpart |