论文标题
正常素质的等距算子的HyperVariant子空间
Hyperinvariant subspaces for normaloid essential isometric operators
论文作者
论文摘要
在本文中，我们证明了对部分等距的标量倍数紧凑型扰动的子类的非平凡性超变异子空间的存在。后来，我们说明此类包含几个重要类的运营商。结果，我们证明了具有有限维空空间的部分等轴测图具有非平凡的高热子空间。
In this article, we prove the existence of a non-trivial hyperinvariant subspace for a subclass of compact perturbations of scalar multiple of a partial isometry. Later, we illustrate that this class contains several important classes of operators. As a consequence, we prove that a Schatten class perturbation of a partial isometry with finite-dimensional null space has a non-trivial hyperinvariant subspace.
