Remarks on the classification of a pair of commuting semilinear operators

Details Remarks on the classification of a pair of commuting semilinear operators Remarks on the classification of a pair of commuting semilinear operators

2011-10-18

arxiv.org/abs/1110.4073v1

Mathematics

Representation Theory

15 pages

Scientific paper

10.1016/j.laa.2011.11.029

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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