Riesz基定义的非自伴Hamilton算子
Non-self-adjoint hamiltonians defined by Riesz bases
摘要：
在特征向量构成Hilbert空间的Riesz基的假设下，讨论了具有实离散简单谱的非自伴Hamilton算子的一些性质。除其他事项外，{我们给出的条件下，这些哈密顿}可以因式分解的广义降低和提高运营商。
英文摘要：
We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, {we give conditions under which these Hamiltonians} can be factorized in terms of generalized lowering and raising operators.
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