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Some remarks on the Jordan–Chevalley decomposition

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Abstract

In this note we mainly study the fine Jordan–Chevalley decomposition: a refinement of the classical Jordan–Chevalley decomposition of a matrix and we pay a particular attention to the field of the coefficients of the matrix. Moreover we obtain some further additive and multiplicative decompositions of a matrix under suitable conditions.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Viale Morgagni 67/a, 50134, Florence, Italy

    Alberto Dolcetti & Donato Pertici

Authors
  1. Alberto Dolcetti
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  2. Donato Pertici
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Corresponding author

Correspondence to Alberto Dolcetti.

Additional information

This research was partially supported by MIUR-PRIN: “Varietà reali e complesse: geometria, topologia e analisi armonica” and by GNSAGA-INdAM.

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Dolcetti, A., Pertici, D. Some remarks on the Jordan–Chevalley decomposition. São Paulo J. Math. Sci. 11, 385–404 (2017). https://doi.org/10.1007/s40863-017-0076-6

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  • DOI: https://doi.org/10.1007/s40863-017-0076-6

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