English

Remarks on the classification of a pair of commuting semilinear operators

Representation Theory 2012-12-14 v1

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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Cite

@article{arxiv.1110.4073,
  title  = {Remarks on the classification of a pair of commuting semilinear operators},
  author = {Debora Duarte de Oliveira and Roger A. Horn and Tatiana Klimchuk and Vladimir V. Sergeichuk},
  journal= {arXiv preprint arXiv:1110.4073},
  year   = {2012}
}

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15 pages