Electron. J. Linear Algebra 16, 237-247, electronic only (2007)
Summary
Summary: Matrices that are products of two (or more) commuting square-zero matrices and matrices that are products of two commuting nilpotent matrices are characterized. Also given are characterizations of operators on an infinite dimensional Hilbert space that are products of two (or more) commuting square-zero operators, as well as operators on an infinite-dimensional vector space that are products of two commuting nilpotent operators.
Mathematics Subject Classification
15A23, 15A27, 47A68, 47B99
Keywords/Phrases
commuting matrices and operators, nilpotent matrices and operators, factorization, products
