Estimates for elements of inverse matrices for a class of operators with matrices of special structure
type: Item
instance of: scholarly article
title: Estimates for elements of inverse matrices for a class of operators with matrices of special structure
zbMATH Open document ID: 1045.47010
DOI: 10.1023/A:1019826518567
author: T. V. Azarnova
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: The author obtains specific (not asymptotic) estimates for the elements of inverse matrices of bounded linear operators acting in infinite-dimensional complex Banach spaces. The matrices of these operators have a special structure and are introduced as special operator-valued functions on an index set. The matrix structure is described by the behavior of the given functions on elements of a special nondiagonal partition of the index set. The estimates are derived from an analysis of Fourier series of strongly continuous periodic functions.
reviewed by: Rémi Vaillancourt
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47L05
zbMATH DE Number: 1928257
zbMATH Keywords: inverse matrix
zbMATH Keywords: bounded linear operator in a Banach space
zbMATH Keywords: Fourier analysis of strongly continuous periodic functions
MaRDI profile type: Publication
full work available at URL: a:1019826518567
OpenAlex ID: W206916435
description: scientific article; zbMATH DE number 1928257