Products of square-zero operators

DOI10.1016/j.jmaa.2007.06.030zbMath1185.47017OpenAlexW2006081704MaRDI QIDQ2465801

Nika Novak

Publication date: 8 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.06.030

zbMATH Keywords

factorizationnilpotent operatorssquare-zero operators

Mathematics Subject Classification ID

Factorization of matrices (15A23) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Canonical forms, reductions, classification (15A21)

Related Items (6)

The sum and the product of two quadratic matrices: regular cases ⋮ Square-zero factorization of matrices ⋮ Unnamed Item ⋮ Sums of commuting square-zero transformations ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ Products of idempotent and square-zero matrices

Cites Work

• Unnamed Item
• On operator ranges
• An operator is a product of two quasi-nilpotent operators if and only if it is not semi-Fredholm
• Sums and products of quasi-nilpotent operators
• Nilpotent factorization of matrices
• Products of nilpotent linear transformations
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Products of nilpotent matrices
• On the closure of the sum of closed subspaces

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