论文标题
代数和扩张
Algebraic Andô Dilation
论文作者
论文摘要
我们解决了克里希纳(Krishna)和约翰逊(Johnson)在\ textit {[operation。矩阵,2022]}。更确切地说,我们表明,在向量空间上的任何通勤线性图都可以扩张到通勤线性线性图。
We solve the Andô dilation problem for linear maps on vector space asked by Krishna and Johnson in \textit{[Oper. Matrices, 2022]}. More precisely, we show that any commuting linear maps on vector space can be dilated to commuting injective linear maps.