The famous computer scientist J. von Neumann initiated the research of the invariant subspace theory and its applications. This paper show that compact perturbations of normal operators on an infinite dimensional Hilbert space H satisfying certain conditions have nontrivial closed invariant subspaces.
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机译：着名的计算机科学家J. Von Neumann启动了不变子空间理论及其应用的研究。本文表明，满足某些条件的无限维尔伯特空间H上正常运算符的紧凑型扰动具有非近距离闭合不变子空间。
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