Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Ter Horst, Sanne"'
After a review of the reproducing kernel Banach space framework and semi-inner products, we apply the techniques to the setting of Hardy spaces $H^p$ and Bergman spaces $A^p$, $1
Externí odkaz:
http://arxiv.org/abs/2412.11473
We show that for a multivariable polynomial $p(z)=p(z_1, \ldots , z_d)$ with a determinantal representation $$ p(z) = p(0) \det (I_n- K (\oplus_{j=1}^d z_j I_{n_j}))$$ the matrix $K$ is structurally similar to a strictly $J$-contractive matrix for so
Externí odkaz:
http://arxiv.org/abs/2411.05385
We establish left and right canonical factorizations of Hilbert-space operator-valued functions $G(z)$ that are analytic on neighborhoods of the complex unit circle and the origin 0, and that have the form $G(z)=I+F(z)$ with $F(z)$ taking strictly co
Externí odkaz:
http://arxiv.org/abs/2409.17324
Schur coupling (SC) and equivalence after extension (EAE) are important relations for bounded operators on Banach spaces. It has been known for 30 years that the former implies the latter, but only recently Ter Horst, Messerschmidt, Ran and Roelands
Externí odkaz:
http://arxiv.org/abs/2210.16926
Autor:
ter Horst, Sanne, van der Merwe, Alma
Nevanlinna-Pick interpolation developed from a topic in classical complex analysis to a useful tool for solving various problems in control theory and electrical engineering. Over the years many extensions of the original problem were considered, inc
Externí odkaz:
http://arxiv.org/abs/2205.13894
We study a general metric constrained interpolation problem in a de Branges-Rovnyak space $\mathcal{H}(K_S)$ associated with a contractive multiplier $S$ between two Fock spaces along with its commutative counterpart, a de Branges-Rovnyak space assoc
Externí odkaz:
http://arxiv.org/abs/2205.10112
Autor:
ter Horst, Sanne, van der Merwe, Alma
The Lyapunov order appeared in the study of Nevanlinna-Pick interpolation for positive real odd functions with general (real) matrix points. For real or complex matrices $A$ and $B$ it is said that $B$ Lyapunov dominates $A$ if \begin{equation*} H=H^
Externí odkaz:
http://arxiv.org/abs/2111.08979
Publikováno v:
In Journal of Functional Analysis 15 July 2024 287(2)
The bounded real lemma (BRL) is a classical result in systems theory, which provides a linear matrix inequality criterium for dissipativity, via the Kalman-Yakubovich-Popov (KYP) inequality. The BRL has many applications, among others in H-infinity c
Externí odkaz:
http://arxiv.org/abs/2109.05495
Autor:
ter Horst, Sanne, Naude, Alma
By the Choi matrix criteria it is easy to determine if a specific linear matrix map is completely positive, but to establish whether a linear matrix map is positive is much less straightforward. In this paper we consider classes of linear matrix maps
Externí odkaz:
http://arxiv.org/abs/2103.14501