Invariance properties of thematic factorizations of matrix functions

Simple item page
dc.creatorAlexeev, R. B.
dc.creatorPeller, V. V.
dc.date2001-01-22
dc.date2001-01-26
dc.date.accessioned2026-07-07T04:39:45Z
dc.date.available2026-07-07T04:39:45Z
dc.descriptionWe study the problem of invariance of indices of thematic factorizations. Such factorizations were introduced in [PY1] for studying superoptimal approximation by bounded analytic matrix functions. As shown in [PY1], the indices may depend on the choice of a thematic factorization. We introduce the notion of a monotone thematic factorization. The main result shows that under natural assumptions a matrix function that admits a thematic factorization also admits a monotone thematic factorization and the indices of a monotone thematic factorization are uniquely determined by the matrix function itself. We obtain similar results for so-called partial thematic factorizations.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0101182
dc.identifierhttp://arxiv.org/abs/math/0101182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60798
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject47B35; 46E15; 30D55
dc.titleInvariance properties of thematic factorizations of matrix functions
dc.typetext

Files

Collections

arXiv