论文标题
矩阵有价值的toeplitz操作员的产物
Product of Matrix Valued Truncated Toeplitz Operators
论文作者
论文摘要
令$a_φ$为矩阵值截断的toeplitz运算符 - 乘法运算符的压缩到向量值型模型空间$ h^2（e）\ ominusθh^2（e）$，其中$θ$是矩阵值的矩阵估值不变的非恒定内部功能。在补充假设下，我们发现产品$a_φa_ψ$本身是矩阵值截断的toeplitz运算符。
Let $A_Φ$ be a matrix valued truncated Toeplitz operator-the compression of multiplication operator to vector-valued model space $H^2(E)\ominus ΘH^2(E)$, where $Θ$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_ΦA_Ψ$ is itself a matrix valued truncated Toeplitz operator.
