Analytic approximation of matrix functions and dual extremal functions

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dc.creatorPeller, V. V.
dc.date2007-11-18
dc.date2008-01-02
dc.date.accessioned2026-07-07T08:51:43Z
dc.date.available2026-07-07T08:51:43Z
dc.descriptionWe study the question of the existence of a dual extremal function for a bounded matrix function on the unit circle in connection with the problem of approximation by analytic matrix functions. We characterize the class of matrix functions, for which a dual extremal function exists in terms of the existence of a maximizing vector of the corresponding Hankel operator and in terms of certain special factorizations that involve thematic matrix functions.
dc.identifierhttps://arxiv.org/abs/0711.2771
dc.identifierhttp://arxiv.org/abs/0711.2771
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145029
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subjectSpectral Theory
dc.subject30E10; 47B35
dc.titleAnalytic approximation of matrix functions and dual extremal functions
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