activity
20052020
most citedBoundary relations and generalized resolvents of symmetric operators

103 citations · 173 across the 15 of their papers we have counts for

collaborators

15 papers

math.FA2020

Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents

D. Baidiuk, V. Derkach, S. Hassi

An isometric operator V in a Pontryagin space H is called standard, if its domain and the range are nondegenerate subspaces in H. A description of coresolvents for standard isometr…

math.SP2020

Full indefinite Stieltjes moment problem and Padé approximants

V. Derkach, I. Kovalyov

Full indefinite Stieltjes moment problem is studied via the step-by-step Schur algorithm. Naturally associated with indefinite Stieltjes moment problem are generalized Stieltjes co…

math.FA2017★ 6 cited

Generalized boundary triples, Weyl functions and inverse problems

Vladimir Derkach, Seppo Hassi, Mark Malamud

With a closed symmetric operator in a Hilbert space a triple of a Hilbert space and two abstract trace operators $Γ_…

math.CA2016

Schur algorithm for Stieltjes indefinite moment problem

Vladimir Derkach, Ivan Kovalyov

Nondegenerate truncated indefinite Stieltjes moment problem in the class of generalized Stieltjes functions is considered. To describe the set of solutions of th…

math.FA2015★ 3 cited

Invariance theorems for Nevanlinna families

Vladimir Derkach, Seppo Hassi, Mark Malamud

A complex function is called a Herglotz-Nevanlinna function if it is holomorphic in the upper half-plane and maps into itself. By a maximum p…

math.SP2015★ 13 cited

Weyl function of a Hermitian operator and its connection with characteristic function

Vladimir Derkach, Mark Malamud

Let be a densely defined symmetric operator with equal deficiency indices in a Hilbert space. We introduce the notion of a Weyl function of corresponding to an ordin…