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arXiv · 1110.4073

Remarks on the classification of a pair of commuting semilinear operators

Debora Duarte de Oliveira·Roger A. Horn·Tatiana Klimchuk·Vladimir V. Sergeichuk
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Abstract

Gelfand and Ponomarev [Functional Anal. Appl. 3 (1969) 325-326] proved that the problem of classifying pairs of commuting linear operators contains the problem of classifying k-tuples of linear operators for any k. We prove an analogous statement for semilinear operators.

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Debora Duarte de Oliveira, Roger A. Horn, Tatiana Klimchuk, Vladimir V. Sergeichuk. 2011-10-18. Remarks on the classification of a pair of commuting semilinear operators. https://doi.org/10.1016/j.laa.2011.11.029

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