"The space of all p-th roots of a nilpotent complex matrix is path-connected"

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Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected. Click to show full abstract

Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected.

Keywords: complex matrix; nilpotent complex; space roots; path connected

Journal Title: Linear Algebra and its Applications
Year Published: 2020

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