论文标题
位于矢量价值的hardy空间上移动运算符几乎不变的子空间
Almost invariant subspaces of the shift operator on vector-valued Hardy spaces
论文作者
论文摘要
在本文中，我们表征了作用于矢量值耐力空间的向后移动算子的有限缺陷的几乎不变子空间，这是Chalendar-Gallardo-Partington（C-G-P）结果的矢量概括。利用这种几乎不变子空间在向后移动下的表征，我们完全描述了移位的几乎不变子空间及其伴随作用在矢量有价值的hardy空间上。
In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.
