Sums and products of quasi-nilpotent operators

DOI10.1017/S0308210500026081zbMath0598.47016OpenAlexW2143367668MaRDI QIDQ3732365

Che-Kao Fong, Ahmed Ramzi Sourour

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500026081

zbMATH Keywords

not a non-zero scalar plus a compact operatorproduct of two quasi-nilpotent operatorssum of two quasi-nilpotent operators

Mathematics Subject Classification ID

Structure theory of linear operators (47A65)

Related Items (8)

The operator factorization problems ⋮ Sums of hypercyclic operators. ⋮ Products of square-zero operators ⋮ On simultaneous triangularization of collections of compact operators ⋮ Invertible and nilpotent matrices over antirings ⋮ Products of nilpotent matrices ⋮ Factorization of Singular Matrices ⋮ On the spectrum of linear operator pencils

Cites Work

• Unnamed Item
• Structure of commutators of operators
• Sums of small numbers of idempotents
• Commutators and compressions
• Real parts of quasi-nilpotent operators

This page was built for publication: Sums and products of quasi-nilpotent operators