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Sums of Quadratic Endomorphisms of an Infinite-Dimensional Vector Space
Published online by Cambridge University Press: 26 February 2018
Abstract
We prove that every endomorphism of an infinite-dimensional vector space over a field splits into the sum of four idempotents and into the sum of four square-zero endomorphisms, a result that is optimal in general.
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- Copyright © Edinburgh Mathematical Society 2018
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