11 citations · 20 across the 12 of their papers we have counts for
4 papers · 1 filter
Everything is possible for the domain intersection dom T \cap dom T*
Yury Arlinskii, Christiane Tretter
This paper shows that for the domain intersection $\dom T\cap\dom T^*$ of a closed linear operator and its Hilbert space adjoint everything is possible for very common classes of o…
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…
Contractions with rank one defect operators and truncated CMV matrices
Yury Arlinskii, Leonid Golinskii, Eduard Tsekanovskii
The main issue we address in the present paper are the new models for completely non-unitary contractions with rank one defect operators acting on some Hilbert space of dimension $…
Non-self-adjoint Jacobi matrices with rank one imaginary part
Yury Arlinskii, Eduard Tsekanovskii
We develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoint Jacobi matrices with a rank one imaginary part. It is shown that given a set of no…