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
DOI: 10.12677/AAM.2024.131001, PDF, 下载: 47  浏览: 122 
作者: 徐宇飞, 吴德玉*：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: 共轭算子；无穷维Hamilton 算子；辛自伴性；Adjoint Operator； Infinite-Dimensional Hamiltonian Operator； Symplectic Self-Adjointness
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。
Abstract: 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.
文章引用：徐宇飞, 吴德玉. 两个无界线性算子乘积的共轭算子[J]. 应用数学进展, 2024, 13(1): 1-9. https://doi.org/10.12677/AAM.2024.131001

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