摘要
设H_(1),H_(2),H_(3)为无穷维复可分Hilbert空间。对给定关系A∈BR(H1),B∈BR(H_(2)),C∈BR(H_(3)),记MD,E,F=(00C0BFADE)∈BR(H_(1)⊕H_(2)⊕H_(3)),给出存在满足D(0)∈A(0),E(0)∈A(0),F(0)∈B(0)的D∈BR(H_(2),H_(1)),E∈BR(H_(3),H_(1)),F∈BR(H_(3),H_(2)),使得M_(D,E,F)为左(右)Weyl关系的充分必要条件。
Let H_(1),H_(2),H_(3) be infinite-dimensional complex separable Hilbert spaces,for the given relation A∈BR(H_(1)),B∈BR(H_(2)),C∈BR(H_(3)),and write MD,E,F=(A D E 0 B F 00 C)∈BR(H_(1)⊕H_(2)⊕H_(3)),a necessary and sufficient condition is given for MD,E,F being a left(right)Weyl relation for some D∈BR(H_(2),H_(1)),E∈BR(H_(3),H_(1)),F∈BR(H_(3),H_(2))of satisfying D(0)⊆A(0),E(0)⊆A(0),F(0)⊆B(0).
作者
董淑婷
吴秀峰
DONG Shuting;WU Xiufeng(College of Mathematics Sciences,Inner Mongolia Normal University,Hohhot 010022,China;Inner Mongolia Center for Applied Mathematical Science,Hohhot 010022,China;Key Laboratory of Infinite Dimensional Hamiltonian System and Its Algorithm Application,Ministry of Education,Hohhot 010022,China)
出处
《内蒙古师范大学学报（自然科学版）》
CAS
2024年第2期183-190,共8页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
内蒙古自治区自然科学基金资助项目“Hamilton算子矩阵谱的Fredholm扰动”(2022LHMS01003)
内蒙古自治区高等学校青年科技英才项目(NJYT22029)
内蒙古师范大学基本科研业务费专项资金资助项目“Hamilton算子矩阵谱的半Fredholm扰动”(2022JBBJ009)。
