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Symplectic Structures of Two Kinds of Nonsymmetric Differential Operators

Symplectic Structures of Two Kinds of Nonsymmetric Differential Operators
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摘要 Non-self-adjoint quasi-differential expression M and its formal adjoint M+may generate nonsymmetric ordinary differential operators. Although minimal operators T0, T+0 generated by M, M+are not symmetric, they form an adjoint pair. In this paper, author studies regularly solvable operators with respect to the adjoint pair T0, T+0 in two kinds of conditions and give their geometry description in the corresponding ways. Non-self-adjoint quasi-differential expression M and its formal adjoint M+may generate nonsymmetric ordinary differential operators. Although minimal operators T0, T+0 generated by M, M+are not symmetric, they form an adjoint pair. In this paper, author studies regularly solvable operators with respect to the adjoint pair T0, T+0 in two kinds of conditions and give their geometry description in the corresponding ways.
作者 Wei-hua YANG
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第2期543-556,共14页 应用数学学报(英文版)
关键词 regularly solvable operators symplectic space self-adjoint operator pair regularly solvable operators symplectic space self-adjoint operator pair
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参考文献9

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