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Results tagged with toeplitz-operators
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user 56553
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vote
2
answers
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On the limit set of eigenvalues of banded Toeplitz Hessenberg matrices
Let $T_{n}(b)$ be the $n\times n$ Toeplitz matrix determined by the symbol
$$
b(z)=\frac{1}{z}+\sum_{j=0}^{k}a_{j}z^{j}
$$
where $k\in\mathbb{N}$ and $a_{0},\dots,a_{k}\in\mathbb{R}$, $a_{k}\neq0$. T …
- 2,188
1
vote
Accepted
On the limit set of eigenvalues of banded Toeplitz Hessenberg matrices
This is not a complete answer to the question. However, the following example indicates that the curve $\Lambda(b)$ actually can separate the plane $\mathbb{C}$. However, this is just a numerically co …
- 2,188