The Nevanlinna parametrization for a matrix moment problem

Autor:	Pedro Lopez-Rodriguez
Přispěvatelé:	Universidad de Sevilla. Departamento de Análisis Matemático
Rok vydání:	2001
Předmět:	Matrix (mathematics) Pure mathematics Hamiltonian matrix General Mathematics Matrix function Mathematical analysis Symmetric matrix Nonnegative matrix Centrosymmetric matrix Square matrix Pascal matrix Mathematics
Zdroj:	Scopus-Elsevier
ISSN:	1903-1807 0025-5521
DOI:	10.7146/math.scand.a-14340
Popis:	We obtain the Nevanlinna parametrization for an indeterminate matrix moment problem, giving a homeomorphism between the set $V$ of solutions to the matrix moment problem and the set $\mathcal V$ of analytic matrix functions in the upper half plane such that $V(\lambda )^*V(\lambda )\le I$. We characterize the N-extremal matrices of measures (those for which the space of matrix polynomials is dense in their $L^2$-space) as those whose corresponding matrix function $V(\lambda )$ is a constant unitary matrix.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b1da09af22d3dbddcc78e60b1637635 https://doi.org/10.7146/math.scand.a-14340 Zobrazit plný text záznamu