Classification of squared normal operators on unitary and Euclidean spaces

Vyacheslav Futorny , Roger A. Horn , Vladimir V. Sergeichuk

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classification 🧮 math.RT

keywords normalcanonicalformmatrixsimilaritysquaretransformationsunder

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We give a canonical form for a complex matrix, whose square is normal, under transformations of unitary similarity as well as a canonical form for a real matrix, whose square is normal, under transformations of orthogonal similarity.

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Classification of squared normal operators on unitary and Euclidean spaces

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