期刊文献+

三个极限点型Hamilton算子乘积的自伴性

Self-adjointness of the Product of Three Hamiltonian Operators under the Limit Point Case
下载PDF
导出
摘要 讨论极限点型Hamilton系统生成的Hamilton算子的积算子的自伴性问题,研究方法不同于文献[1]的方法,利用GKN理论及奇异Hamilton系统自伴扩张的一般构造理论,得到了三个极限点型Hamilton算子的乘积是自伴的充要条件. This paper is concerned with self-adjointness of the product of three Hamiltonian operators under the limit point case.The method used in this paper is different from that in paper[1].Using the GKN theory and the construction of self-adjoint extension for singular Hamiltonian systems,the necessary and sufficient conditions which make the product of three Hamiltonian operator under the limit point case being self-adjoint operator are obtained.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2011年第3期1-5,共5页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(10801089) 山东省自然科学基金(ZR2009AQ010)
关键词 奇异Hamilton算子 极限点型 亏指数 积算子 自伴扩张 Singular Hamiltonian operator limit point case deficiency index product of operator self-adjoint extension
  • 相关文献

参考文献13

  • 1毕盈,郑召文,侯伟.两个Hamilton算子积的自伴性[J].曲阜师范大学学报(自然科学版),2009,35(2):1-5. 被引量:3
  • 2Kauffman R M, Read T, Zettl A. The deficiency index problem of powers of ordinary differential expressions [ M ]. Lecture Notes in Math,621, Berlin, New York : Springer-Verlag, 1977.
  • 3Race D, Zettl A. On the commutativity of certain quasi-differential expression [ J ]. J London Math Soc, 1990, 42 (2) :489-504.
  • 4边学军.二阶自伴微分算子方幂的自伴性[J].内蒙古大学学报(自然科学版),1996,27(1):1-10. 被引量:10
  • 5Cao Zhijiang, Sun Jiong, Edmunds D E. On self-adjointness of the product of two second-order differential operators [ J ]. Acta Math Sinica, English Series, 1999, 15 (3) :375-386.
  • 6李文明.向量函数空间上常微分算子的自伴扩张[J].内蒙古大学学报(自然科学版),1991,22(4):447-454. 被引量:8
  • 7Shi Y M. On the rank of the matrix radius of the limiting set for asingular linear Hamiltonian system [ J ], Linear Algebra Appl, 2004,376,109-123.
  • 8Zheng Z W, Chen S Z. GKN theory for linear Hamihonian systems[J].Appl Math Comput. 2006.182(2) :1514-1527.
  • 9Sun Huaqing, Shi Yuming. Self-adjoint extensions for singular linear Hamihonian systems [ J ]. Math Nachr, 2011,284 (5-6): 787-814.
  • 10Coddington E A. The spectral representation of ordinary self-adjoint differential operators [ J ]. Ann of Math, 1954, 60 ( 1 ) :192- 211.

二级参考文献22

  • 1杨传富,黄振友,杨孝平.Hilbert空间L^2[a,b]上m个微分算子积的自伴性[J].应用数学,2004,17(4):617-622. 被引量:2
  • 2杨传富.极限点型Sturm-Liouville算子乘积的自伴性[J].系统科学与数学,2006,26(3):368-374. 被引量:6
  • 3Cao Z J, Liu J L. On the deficiency index theory of singular symmetric differential operators [ J ]. Advance in Mathematics, 1983, 12(3) :161-178.
  • 4Kauffman R M, Read T, Zettl A. The deficiency index problem of powers of ordinary differential expressions [M]. Lecture Notes in Math, 621, Berlin, New York : Springer-Verlag, 1977.
  • 5Race D, Zettl A. On the commutativity of certain quasi-differential expression Ⅰ [J]. J London Math Soc, 1990, 42(2) :489- 504.
  • 6Bian X J. On self-adjointness of power of 2-nd order self-adjoint differential operators [ J]. 1996, 27 (1) :1-10.
  • 7Cao Z J, Sun J, Edmunds D E. On self-adjointness of the product of two second-order differential operators [J]. Acta Math Sinica ( English Series), 1999, 15 ( 3 ) : 375-386.
  • 8Zheng Z W, Chen S. GKN theory for linear Hamiltonian systems[J]. Appl Math Comput. 2006,182(2) :1514-1527.
  • 9Krall A M. M(A) theory for singular Hamiltonian systems with one singular point[J]. Siam J Math Anal,1989,20: 664-700.
  • 10刘景麟.对称算子自伴延拓的Calkin描述[J].内蒙古大学学报:自然科学版,1988,19(4):573-587.

共引文献20

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部