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Distance from Idempotents to Nilpotents
Published online by Cambridge University Press: 20 November 2018
Abstract
We give bounds on the distance from a non-zero idempotent to the set of nilpotents in the set of $n\,\times \,n$ matrices in terms of the norm of the idempotent. We construct explicit idempotents and nilpotents which achieve these distances, and determine exact distances in some special cases.
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- Research Article
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- Copyright © Canadian Mathematical Society 2007
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