Geodesic
Products of commuting nilpotent operators
The electronic journal of linear algebra, Tome 16 (2007), pp. 237-247.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 15A23, 15A27, 47A68, 47B99
Keywords: commuting matrices and operators, nilpotent matrices and operators, factorization, products 
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     author = {Kokol Bukov\v{s}ek, Damjana and Ko\v{s}ir, Toma\v{z} and Novak, Nika and Oblak, Polona},
     title = {Products of commuting nilpotent operators},
     journal = {The electronic journal of linear algebra},
     pages = {237--247},
     publisher = {mathdoc},
     volume = {16},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2007__16__a16/}
}
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Kokol Bukovšek, Damjana; Košir, Tomaž; Novak, Nika; Oblak, Polona. Products of commuting nilpotent operators. The electronic journal of linear algebra, Tome 16 (2007), pp. 237-247. http://geodesic.mathdoc.fr/item/ELA_2007__16__a16/