论文标题
希尔伯特空间中运营商的几乎不变子空间
Nearly invariant subspaces for operators in Hilbert spaces
论文作者
论文摘要
对于具有有限多重性在可分离的无限尺寸希尔伯特空间上的有限多重性的换档运算符$ t $，我们代表其几乎$ t^{ - 1} $不变的子空间，就向后移动下的不变子空间而言。再进一步，考虑到任何有限的blaschke产品$ b $，我们对运算符$ t_b $ bulteplication $ t_b $ bulutlication $ b $的几乎$ t_ {b}^{ - 1} $不变子空间的描述。
For a shift operator $T$ with finite multiplicity acting on a separable infinite dimensional Hilbert space we represent its nearly $T^{-1}$ invariant subspaces in terms of invariant subspaces under the backward shift. Going further, given any finite Blaschke product $B$, we give a description of the nearly $T_{B}^{-1}$ invariant subspaces for the operator $T_B$ of multiplication by $B$ in a scale of Dirichlet-type spaces.
