Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials

Tomeo Perucha, Venancio and Torrano Gimenez, Emilio (2010). Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials. "Linear Algebra and its Applications", v. 435 (n. 9); pp. 1-7. ISSN 0024-3795. https://doi.org/10.1016/j.laa.2011.04.027.

Description

Title: Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials
Author/s:
  • Tomeo Perucha, Venancio
  • Torrano Gimenez, Emilio
Item Type: Article
Título de Revista/Publicación: Linear Algebra and its Applications
Date: January 2010
ISSN: 0024-3795
Volume: 435
Subjects:
Freetext Keywords: Orthogonal polynomials; Hessenberg matrix; Subnormal operator
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we prove two consequences of the subnormal character of the Hessenberg matrix D when the hermitian matrix M of an inner product is a moment matrix. If this inner product is defined by a measure supported on an algebraic curve in the complex plane, then D satisfies the equation of the curve in a noncommutative sense. We also prove an extension of the Krein theorem for discrete measures on the complex plane based on properties of subnormal operators.

More information

Item ID: 8725
DC Identifier: http://oa.upm.es/8725/
OAI Identifier: oai:oa.upm.es:8725
DOI: 10.1016/j.laa.2011.04.027
Official URL: http://www.sciencedirect.com/science/article/pii/S0024379511003326
Deposited by: Memoria Investigacion
Deposited on: 03 Oct 2011 10:41
Last Modified: 20 Apr 2016 17:24
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