Muyan Jiang

collaborators

2 papers

math.FA2022

Numerical ranges of Foguel operators revisited

Muyan Jiang, Ilya M. Spitkovsky

The Foguel operator is defined as $F_{T} = [S^{*} 0 T S]$ , where $S$ is the right shift on a Hilbert space $H$ and $T$ can be an arbitrary bound…

math.FA2021

Low-dimensional reciprocal matrices with elliptical components of their Kippenhahn curves

Muyan Jiang, Ilya M. Spitkovsky

By definition, reciprocal matrices are tridiagonal $n$ -by- $n$ matrices $A$ with constant main diagonal and such that $a_{i, i + 1} a_{i + 1, i} = 1$ for $i = 1, \dots, n - 1$ . For $n \leq 6$ , we…