The Hamiltonian system and completeness of symplectic orthogonal system (Q1369476)
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scientific article; zbMATH DE number 1076537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hamiltonian system and completeness of symplectic orthogonal system |
scientific article; zbMATH DE number 1076537 |
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The Hamiltonian system and completeness of symplectic orthogonal system (English)
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29 June 1998
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Two new Banach spaces \(ZH_a\) and \(ZH_b\) are obtained. It is shown the completeness of the eigenfunction system (symplectic orthogonal system) of a class of Hamiltonian systems in the spaces \(ZH_a\) and \(ZH_b\). Also, it is proven that the \(ZH_b\) space can be continuously imbedded in \(V \times V\), where \(V\) is a Hilbert space. It is established that \(ZH_b \neq L_2[0,1] \times L_2 [0,1]\).
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symplectic orthogonal system
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completeness
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Hamiltonian system
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