An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators

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dc.creatorKatsnelson, Victor
dc.creatorKheifets, Alexander
dc.creatorYuditskii, Peter
dc.date2007-06-13
dc.date.accessioned2026-07-07T08:09:50Z
dc.date.available2026-07-07T08:09:50Z
dc.descriptionThe algebraic structure of V.P. Potapov's Fundamental Matrix Inequality (FMI) is discussed and its interpolation meaning is analyzed. Functional model spaces are involved. A general Abstract Interpolation Problem is formulated which seems to cover all the classical and recent problems in the field and the solution set of this problem is described using the Arov--Grossman formula. The extension theory of isometric operators is the proper language for treating interpolation problems of this type.
dc.identifierhttps://arxiv.org/abs/0706.1896
dc.identifierhttp://arxiv.org/abs/0706.1896
dc.identifierTopics in Interpolation Theory. Operator Theory: advances and Applications, Vol. 95. Birkhauser, 1997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131658
dc.subjectFunctional Analysis
dc.subject47A57, 47A20, 30D50.
dc.titleAn Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
dc.typetext

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