Right and Left Weyl Operator Matrices in a Banach Space Setting
Let Xi,Yii=1,2 be Banach spaces. The operator matrix of the form MC=AC0B acting between X1⊕X2 and Y1⊕Y2 is investigated. By using row and column operators, equivalent conditions are obtained for MC to be left Weyl, right Weyl, and Weyl for some C∈ℬX2,Y1, respectively. Based on these results, some su...
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| Format: | Article |
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Hindawi Limited
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9959364 |
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doaj-cfb7c2836b904dc8865861f76e6ab97f2021-06-14T00:17:56ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/9959364Right and Left Weyl Operator Matrices in a Banach Space SettingAichun Liu0Junjie Huang1Alatancang Chen2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesLet Xi,Yii=1,2 be Banach spaces. The operator matrix of the form MC=AC0B acting between X1⊕X2 and Y1⊕Y2 is investigated. By using row and column operators, equivalent conditions are obtained for MC to be left Weyl, right Weyl, and Weyl for some C∈ℬX2,Y1, respectively. Based on these results, some sufficient conditions are also presented. As applications, some discussions on Hamiltonian operators are given in the context of Hilbert spaces.http://dx.doi.org/10.1155/2021/9959364 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aichun Liu Junjie Huang Alatancang Chen |
| spellingShingle |
Aichun Liu Junjie Huang Alatancang Chen Right and Left Weyl Operator Matrices in a Banach Space Setting Journal of Mathematics |
| author_facet |
Aichun Liu Junjie Huang Alatancang Chen |
| author_sort |
Aichun Liu |
| title |
Right and Left Weyl Operator Matrices in a Banach Space Setting |
| title_short |
Right and Left Weyl Operator Matrices in a Banach Space Setting |
| title_full |
Right and Left Weyl Operator Matrices in a Banach Space Setting |
| title_fullStr |
Right and Left Weyl Operator Matrices in a Banach Space Setting |
| title_full_unstemmed |
Right and Left Weyl Operator Matrices in a Banach Space Setting |
| title_sort |
right and left weyl operator matrices in a banach space setting |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4785 |
| publishDate |
2021-01-01 |
| description |
Let Xi,Yii=1,2 be Banach spaces. The operator matrix of the form MC=AC0B acting between X1⊕X2 and Y1⊕Y2 is investigated. By using row and column operators, equivalent conditions are obtained for MC to be left Weyl, right Weyl, and Weyl for some C∈ℬX2,Y1, respectively. Based on these results, some sufficient conditions are also presented. As applications, some discussions on Hamiltonian operators are given in the context of Hilbert spaces. |
| url |
http://dx.doi.org/10.1155/2021/9959364 |
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AT aichunliu rightandleftweyloperatormatricesinabanachspacesetting AT junjiehuang rightandleftweyloperatormatricesinabanachspacesetting AT alatancangchen rightandleftweyloperatormatricesinabanachspacesetting |
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