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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9959364 |
| Summary: | 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. |
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| ISSN: | 2314-4785 |