| 极限圆型Hamilton算子乘积的自伴性 |
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| 引用本文： | 郑召文,刘宝圣.极限圆型Hamilton算子乘积的自伴性[J].数学学报,2012(2):301-310. |
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| 作者姓名： | 郑召文 刘宝圣 |
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| 作者单位： | 曲阜师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10801089);山东省自然科学基金资助项目(ZR2009AQ010) |
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| 摘 要： | 本文讨论了极限圆型Hamilton算子乘积的自伴性,利用Calkin方法及奇异Hamilton系统自伴扩张的一般构造理论,给出了在极限圆型时判定Hamilton算子乘积自伴的一个充要条件.
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| 关 键 词： | 奇异Hamilton算子 极限圆型 亏指数 积算子 自伴扩张 |
Self-adjointness of the Product of Two Hamiltonian Operators under the Limit Circle Case |
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| Zhao Wen ZHENG Bao Sheng LIU.Self-adjointness of the Product of Two Hamiltonian Operators under the Limit Circle Case[J].Acta Mathematica Sinica,2012(2):301-310. |
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| Authors: | Zhao Wen ZHENG Bao Sheng LIU |
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| Institution: | Zhao Wen ZHENG Bao Sheng LIU School of Mathematical Sciences,Qufu Normal University,Qufu 273165,P.R.China |
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| Abstract: | In this paper,the self-adjointness of the product of two Hamiltonian operators under the limit circle case is considered.Using the Calkin method and the construction of self-adjoint extension for singular Hamiltonian systems,the necessary and sufficient conditions which make the product of two Hamiltonian operators under the limit circle case being a self-adjoint operator are obtained. |
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| Keywords: | singular Hamiltonian operator limit circle case defect index product of operator self-adjoint extension |
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