两个无界线性算子乘积的共轭算子  

The Adjoint Operator of the Product ofTwo Unbounded Linear Operators

作　　者：徐宇飞 吴德玉[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古 呼和浩特

出　　处：《应用数学进展》2024年第1期1-9,共9页Advances in Applied Mathematics

摘　　要：本文运用乘积算子的谱的性质,研究了两个无界线性算子乘积的共轭算子。 给出了(AB)∗=B∗A∗成立的充分条件,作为应用,刻画了无穷维Hamilton算子的辛自伴性。In this paper, the adjoint operator of the product of two unbounded linear operators is studied by using the spectral properties of the product operator. Some sufficient conditions for (AB)∗ = B∗A∗ are given. As applications, the symplectic self-adjointness of infinite dimensional Hamiltonian operator is characterized.

关 键 词：共轭算子 无穷维Hamilton 算子 辛自伴性 

分 类 号：O17[理学—数学]