Friedrichs extension of operators defined by symmetric banded matrices
type: Item
instance of: scholarly article
title: Friedrichs extension of operators defined by symmetric banded matrices
zbMATH Open document ID: 1171.39004
author: Ondřej Došlý
author: Petr Hasil
published in: Linear Algebra and its Applications
publication date: 2009-04-29T00:00:00Z
review text: The authors study the operator \({\mathcal A}: l^2\to l^2\) defined by a \((2n+1)\)-diagonal infinite symmetric matrix. Using the recessive system of solutions of a certain associated \(2n\)-order Sturm-Liouville difference equation, they characterize the domain of the Friedrichs extension of \({\mathcal A}\).
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 47B37
zbMATH DE Number: 5549254
zbMATH Keywords: Friedrichs extension
zbMATH Keywords: Sturm-Liouville difference equation
zbMATH Keywords: linear Hamiltonian difference system
zbMATH Keywords: recessive system of solutions
zbMATH Keywords: operators in sequence spaces
zbMATH Keywords: infinite symmetric matrix
MaRDI profile type: Publication
full work available at URL: j.laa.2008.11.005
OpenAlex ID: W2013470176
cites work: Q3767772
cites work: Q4716258
cites work: Disconjugacy and transformations for symplectic systems
cites work: On the Friedrichs extension of semi-bounded difference operators
cites work: Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
cites work: A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems
cites work: On the Krein and Friedrichs extensions of a positive Jacobi operator
cites work: Oscillation criteria for higher order sturm–liouville difference equations*
cites work: Q4513248
cites work: Computational Aspects of Three-Term Recurrence Relations
cites work: Critical and subcritical Jacobi operators defined as Friedrichs extensions
cites work: Q5330830
cites work: A Characterization of the Friedrichs Extension of Sturm-Liouville Operators
cites work: Perturbation theory for linear operators.
cites work: Banded matrices and difference equations
cites work: The Friedrichs extension of singular differential operators
cites work: Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
cites work: Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
cites work: Q5613350
DOI: 10.1016/J.LAA.2008.11.005
description: scientific article; zbMATH DE number 5549254