On an operator approach to interpolation problems for Stieltjes functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1999-12

AUTHORS

V. Bolotnikov, L. Sakhnovich

ABSTRACT

A general interpolation problem for operator-valued Stieltjes functions is studied using V. P. Potapov's method of fundamental matrix inequalities and the method of operator identities. The solvability criterion is established and under certain restrictions the set of all solutions is parametrized in terms of a linear fractional transformation. As applications of a general theory, a number of classical and new interpolation problems are considered. More... »

PAGES

423-470

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01228042

DOI

http://dx.doi.org/10.1007/bf01228042

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1025236651


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