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两个无界线性算子乘积的共轭算子
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Abstract:
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.
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