1 citations · 1 across the 3 of their papers we have counts for
5 papers
On the Kato square root problem
Yury Arlinskiĭ
In the infinite-dimensional separable complex Hilbert space we construct new abstract examples of unbounded maximal accretive and maximal sectorial operators for which ${\rm do…
Representations of closed quadratic forms associated with Stieltjes and inverse Stieltjes holomorphic families of linear relations
Yury Arlinski\uı, Seppo Hassi
In this paper holomorphic families of linear relations which belong to the Stieltjes or inverse Stieltjes class are studied. It is shown that in their domain of holomorphy ${\mathb…
Stieltjes and inverse Stieltjes holomorphic families of linear relations and their representations
Yury Arlinski\uı, Seppo Hassi
We study analytic and geometric properties of Stieltjes and inverse Stieltjes families defined on a separable Hilbert space and establish various minimal representations for them b…
Transformations of Nevanlinna operator-functions and their fixed points
Yu. M. Arlinskiĭ
We give a new characterization of the class of the operator-valued in the Hilbert space Nevanlinna functions that admit representati…
The Schur problem and block operator CMV matrices
Yury Arlinskiĭ
The CMV matrices and their sub-matrices are applied to the description of all solutions to the Schur interpolation problem for contractive analytic operator-valued functions in the…