5 citations · 6 across the 4 of their papers we have counts for
4 papers
math.FA2008
Numerical Range and Quasi-Sectorial Contractions
Yury Arlinskii, Valentin Zagrebnov
We apply a method developed by one of the authors, see \cite{Arl1}, to localize the numerical range of \textit{quasi-sectorial} contractions semigroups. Our main theorem establishe…
math.FA2008★ 5 cited
Conservative discrete time-invariant systems and block operator CMV matrices
Yury Arlinskii
It is well known that an operator-valued function from the Schur class , where and are separable Hilbert spaces, c…
math.FA2008★ 1 cited
Iterates of the Schur class operator-valued function and their conservative realizations
Yury Arlinskii
Let and be separable Hilbert spaces and let be a function from the Schur class of contractive functions holomo…
math.SP2007
The Kalman--Yakubovich--Popov inequality for passive discrete time-invariant systems
Yury Arlinskii
We consider the Kalman - Yakubovich - Popov (KYP) inequality \[ \begin{pmatrix} X-A^* XA-C^*C & -A^*X B- C^*D\cr -B^*X A-D^* C & I- B^*X B-D^*D \end{pmatrix} \ge 0 \] for contracti…