论文标题
在紧凑型汉克尔操作员上
On compact Hankel operators over compact Abelian groups
论文作者
论文摘要
我们认为具有线性订购的双重偶数的紧凑型和连接的Abelian Group $ G $。基于对紧凑型Hankel操作员在$ G $上的结构的描述，获得了经典的Kronecker，Hartman，Peller和Adamyan-Arov-Krein定理的概括。还建立了对Burling不变子空间定理的概括。将申请送给汉克尔运营商通过离散组
We consider compact and connected Abelian group $G$ with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over $G$, generalizations of the classical Kronecker, Hartman, Peller and Adamyan-Arov-Krein theorems are obtained. A generalization of Burling's invariant subspace theorem is also established. Applications are given to Hankel operators over discrete groups
