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arXiv · 1601.00296

Sums of quadratic endomorphisms of an infinite-dimensional vector space

Clément de Seguins Pazzis
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Abstract

We prove that every endomorphism of an infinite-dimensional vector space splits as the sum of four idempotents and as the sum of four square-zero endomorphisms, a result that is optimal in general.

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Clément de Seguins Pazzis. 2016-09-24. Sums of quadratic endomorphisms of an infinite-dimensional vector space. https://arxiv.org/abs/1601.00296

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