关于不变子空间问题的否定解
On Negative Solution of Invariant Subspace Problem
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摘要: 用代数方法进一步简化了不变子空间问题的否定解,在l1上给出了一个不具有非平凡的不变子空间的有界性算子。特别是用向量的坐标计算代替了某些向量的范数估计,用一些简单的代数运算代替了紧空间技巧。Abstract: In this paper, the negative solution of the invariant subspace problem is simplified, and a bounded linear operator on l1 without non-trivial closed invariant subspaces is presented.In particular, the estimations of norms of some vectors are replaced by the calculation of coordinates of the vectors in this paper and the simple algbraice operations are employed instead of the technique of compact spaces.