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- W4313333902 abstract "We will use commutators to provide decompositions of 3×3 matrices as sums whose terms satisfy some polynomial identities, and we apply them to bounded linear operators and endomorphisms of free modules of infinite rank. In particular it is proved that every bounded operator of an infinite-dimensional complex Hilbert space is a sum of four automorphisms of order 3 and that every simple ring that is obtained as a quotient of the endomorphism ring of an infinite-dimensional vector space modulo its maximal ideal is a sum of three nilpotent subrings." @default.
- W4313333902 created "2023-01-06" @default.
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- W4313333902 date "2023-04-01" @default.
- W4313333902 modified "2023-10-09" @default.
- W4313333902 title "Decompositions of matrices by using commutators" @default.
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- W4313333902 doi "https://doi.org/10.1016/j.laa.2022.12.019" @default.
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