论文标题
双波段一般托管运营商
Dual-band general Toeplitz operators
论文作者
论文摘要
我们将双波段通用Toeplitz运算符联系起来，以阻止截断的Toeplitz运算符，并通过扩展后的等价方式与带有$ 4 \ times 4 $矩阵符号的Toeplitz Operators。我们在各种情况下讨论了它们的规范，它们的内核，弗雷德霍姆斯，可逆性和光谱特性，重点是双波段移位的光谱特性，事实证明这很复杂，导致与相关内部功能的边界行为的新的和非平凡的联系。
We relate dual-band general Toeplitz operators to block truncated Toeplitz operators and, via equivalence after extension, with Toeplitz operators with $4 \times 4$ matrix symbols. We discuss their norm, their kernel, Fredhomlness, invertibility and spectral properties in various situations, focusing on the spectral properties of the dual-band shift, which turns out to be considerably complex, leading to new and nontrivial connections with the boundary behaviour of the associated inner function.
