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20142020
most citedAbstract interpolation problem in generalized Schur classes

3 citations · 3 across the 6 of their papers we have counts for

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6 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.AP2020

Robustness of polynomial stability of damped wave equations

D. Baidiuk, L. Paunonen

In this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient…

math.FA2016

Completion and extension of operators in Kre\uın spaces

D. Baidiuk

A generalization of the well-known results of M.G. Kre\uın about the description of selfadjoint contractive extension of a hermitian contraction is obtained. This generalization co…

math.SP2015

Generalized resolvents of isometric operators in Pontryagin spaces

Dmytro Baidiuk

An isometric operator in a Pontryagin space is called standard, if its domain and the range are nondegenerate subspaces in . Generalized resolvents o…

math.FA2014

Completion, extension, factorization, and lifting of operators with a negative index

D. Baidiuk, S. Hassi

The famous results of M.G. Kre\uın concerning the description of selfadjoint contractive extensions of a Hermitian contraction and the characterization of all nonnegative sel…

math.FA2014★ 3 cited

Abstract interpolation problem in generalized Schur classes

D. Baidiuk

An indefinite variant of the abstract interpolation problem is considered. Associated to this problem is a model Pontryagin space isometric operator V. All the solutions of the pro…