论文标题
排名一的扰动的不变半空间
Invariant half-spaces for rank-one perturbations
论文作者
论文摘要
如果t是作用于无限二维Banach空间的有界线性运算符，则最多有一个且任意小规范的等级和算法f，因此t-f具有无限维度和编码的不变子空间。这改善了Tcaciuc和其他作者的结果。
If T is a bounded linear operator acting on an infinite-dimensional Banach space, then there exists and operator F of rank at most one and arbitrarily small norm such that T-F has an invariant subspace of infinite dimension and codimension. This improves results of Tcaciuc and other authors.
