On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system.
type: Item
instance of: scholarly article
title: On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system.
zbMATH Open document ID: 1047.37041
author: Yuming Shi
published in: Linear Algebra and its Applications
publication date: 2003-12-03T00:00:00Z
review text: From author's abstract: This paper is concerned with the rank of the matrix radius of the limiting set for a singular Hamiltonian system with one singular endpoint. An exact relationship between the rank of the matrix radius and the number of square integrable solutions is obtained and then the defect index of the corresponding minimal operator can be represented in terms of the rank of the matrix radius. Especially, a classification of singular linear Hamiltonian systems is presented and several necessary and sufficient conditions for the limit point and limit circle cases are established.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 2012701
zbMATH Keywords: singular Hamiltonian system
zbMATH Keywords: \(M(\lambda)\) theory
zbMATH Keywords: symmetric operator
zbMATH Keywords: defect index
reviewed by: Jan Andres
MaRDI profile type: Publication
full work available at URL: j.laa.2003.06.008
OpenAlex ID: W2082580389
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DOI: 10.1016/J.LAA.2003.06.008
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description: scientific article; zbMATH DE number 2012701