S. ter Horst

collaborators

4 papers

math.FA2021

Hill representations for *-linear matrix maps

Sanne ter Horst, Alma Naude

In a paper from 1973 R.D. Hill studied linear matrix maps $L : C^{q \times q} \to C^{n \times n}$ which map Hermitian matrices to Hermitian matrices, or equ…

math.FA2018

A Toeplitz-like operator with rational symbol having poles on the unit circle III: the adjoint

G. J. Groenewald, S. Ter Horst, J. Jaftha +1

This paper contains a further analysis of the Toeplitz-like operators $T_{ω}$ on $H^{p}$ with rational symbol $ω$ having poles on the unit circle that were previously studied in [5.6].…

math.FA2018

The Bezout-corona problem revisited: Wiener space setting

G. J. Groenewald, S. ter Horst, M. A. Kaashoek

The matrix-valued {Bezout-corona} problem $G (z) X (z) = I_{m}$ , $∣ z ∣ < 1$ , is studied in a Wiener space setting, that is, the given function $G$ is an analytic matrix function on the unit…

math.FA2018

Standard versus Strict Bounded Real Lemma with infinite-dimensional state space I: The State-Space-Similarity Approach

J. A. Ball, G. J. Groenewald, S. ter Horst

The Bounded Real Lemma, i.e., the state-space linear matrix inequality characterization (referred to as Kalman-Yakubovich-Popov or KYP inequality) of when an input/state/output lin…