| 向量值函数空间中J-对称算子的J-自伴延拓 |
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| 引用本文： | 王晓霞,贺祖国.向量值函数空间中J-对称算子的J-自伴延拓[J].系统科学与数学,2000,20(4):462-473. |
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| 作者姓名： | 王晓霞 贺祖国 |
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| 作者单位： | 1. 北方交通大学理学院, 北京 100044
2. 北京邮电大学理学院, 北京 100876 |
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| 基金项目： | 现为中国科学院数学与系统科学研究院博士研究生. |
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| 摘 要： | 给出了向量值函数空间中J-对称算子的J-自伴延拓的完全解析描述.我们应用Knowles理论,借助方程τ(y)=λ
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| 关 键 词： | J-对称算子 J-自伴算子 J-自伴域. |
| 修稿时间： | 1998年12月29 |
ON J-SELFADJOINT EXTENSIONS OF J-SYMMETRIC ORDINARYDIFFERENTIAL OPERATORS IN A VECTOR-FUNCTION SPACE |
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| Wang Xiaoxia,He Zuguo.ON J-SELFADJOINT EXTENSIONS OF J-SYMMETRIC ORDINARYDIFFERENTIAL OPERATORS IN A VECTOR-FUNCTION SPACE[J].Journal of Systems Science and Mathematical Sciences,2000,20(4):462-473. |
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| Authors: | Wang Xiaoxia He Zuguo |
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| Institution: | (1)School of Science, Northern Jiaotong University, Beijing 100044,P.R.China;(2)Shool of Science, Beijing University of Posts and Telecomm, Beijing 100876,P.R.China |
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| Abstract: | In this paper the J-selfadjoint boundary conditionsof J- symmetric ordinary differential expression τ defined in avector-function space with singular endpoints are characterized. Thecharacterzation is based on Knowles's theory and therefore, the boundaryconditions are given by means of the L2-solutions of the equationτ(y)=λ0 y with λ0∈Π (T0) under theassumption that Π(T0) is nonempty, where Π(T0) is the regularity field of T0, the minimal operator generated by τ. As an application, all the J-selfadjoint boundaryconditions of the 2-nd order J-symmetric differential experessionswith limit-circle singular endpoints are given. |
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| Keywords: | J-symmetric operators J-selfadjoint operators J-selfadjoint extension |
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