LU-factorization of order bounded operators on Banach sequence spaces

DOI10.1016/0021-9045(86)90001-8zbMath0615.47018OpenAlexW2043203259MaRDI QIDQ1820408

Kevin T. Andrews, Joseph D. Ward

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90001-8

zbMATH Keywords

bounded linear operatorcompressionsLU-factorizationsinvertible, diagonally dominant operatorsinvertible, totally positive operatorsorder bounded

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on ordered spaces (47B60)

Related Items (3)

LU factorizations, \(q = 0\) limits, and \(p\)-adic interpretations of some \(q\)-hypergeometric orthogonal polynomials ⋮ Inf-sup stability implies quasi-orthogonality ⋮ Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A factorization theorem for banded matrices
• Factorization of diagonally dominant operators on \(\ell _ 1\)
• Structure of invertible (bi)infinite totally positive matrices
• Mathematical Foundations of Signal Processing
• The Inverse of a Totally Positive Bi-Infinite Band Matrix
• Inverses of Infinite Sign Regular Matrices
• Cholesky factorization of positive definite bi-infinite matrices
• On factorization of operators relative to a discrete chain of projectors in Banach space

This page was built for publication: LU-factorization of order bounded operators on Banach sequence spaces