Commuting family of block Jacobi matrices
type: Item
instance of: scholarly article
title: Commuting family of block Jacobi matrices
zbMATH Open document ID: 0893.15005
DOI: 10.1016/S0898-1221(96)00231-3
author: Yuan Xu
publication date: 1997-04-17T00:00:00Z
review text: The well-known connection between orthogonal polynomials and Jacobi matrices is extended to orthogonal polynomials in several variables. This leads to block Jacobi matrices. A multidimensional analogue of the Stone theorem on self-adjoint operators with simple spectrum is obtained.
reviewed by: Jaroslav Zemánek
Mathematics Subject Classification ID: 15A27
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 1001357
zbMATH Keywords: commuting family
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: several variables
zbMATH Keywords: block Jacobi matrices
zbMATH Keywords: Stone theorem
zbMATH Keywords: self-adjoint operators
MaRDI profile type: Publication
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full work available at URL: s0898-1221(96)00231-3
OpenAlex ID: W2056792248
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1001357