Invertibility and stability of linear combinations ofm-potent operators
type: Item
instance of: scholarly article
title: Invertibility and stability of linear combinations ofm-potent operators
zbMATH Open document ID: 1309.15009
DOI: 10.1080/03081087.2013.828719
published in: Linear and Multilinear Algebra
publication date: 2014-11-12T00:00:00Z
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 47A05
zbMATH DE Number: 6368999
zbMATH Keywords: reduced minimum modulus
zbMATH Keywords: linear combination of \(m\)-potents
zbMATH Keywords: group inverse
zbMATH Keywords: Hilbert space
author: Chunyuan Deng
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03081087.2013.828719
OpenAlex ID: W2019254690
cites work: Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
cites work: On the perturbation of the least squares solutions in Hilbert spaces
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cites work: A note on linear combinations of commuting tripotent matrices
cites work: On spectral properties of linear combinations of idempotents
cites work: Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators
cites work: Fredholmness of linear combinations of two idempotents
cites work: Stability theorems for linear combinations of idempotents
cites work: The nullity and rank of linear combinations of idempotent matrices
cites work: Fredholm properties of the difference of orthogonal projections in a Hilbert space
cites work: A note on \(k\)-generalized projections
cites work: On invertibility of combinations of \(k\)-potent operators
cites work: On nonsingularity of combinations of two group invertible matrices and two tripotent matrices
cites work: Stability theorems for some combinations of two idempotents
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description: scientific article; zbMATH DE number 6368999