On the distance from a matrix to nilpotents

DOI10.1016/J.LAA.2023.09.011zbMath1526.15021arXiv2307.04463OpenAlexW4386812907MaRDI QIDQ6084877

Michiya Mori

Publication date: 6 November 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.04463

zbMATH Keywords

distanceprojectionnilpotent

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear operator approximation theory (47A58)

Cites Work

• Interpolation problems in nest algebras
• Limits of nilpotent and quasinilpotent operators
• The distance to upper triangular operators
• Distance From Projections to Nilpotents
• Distance from Idempotents to Nilpotents
• The Distance from a Rank Projection to the Nilpotent Operators on

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