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On pointwise complete pairs of linear transformations

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Abstract

We prove the pointwise completeness of the order n system with constant coefficients under the assumption that the matrices of the system split into square blocks of the same size so that the collection of all blocks embeds into a finite dimensional associative division algebra; the block rank of the passive matrix is at most 2.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. A. Korobov

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  1. A. A. Korobov
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Correspondence to A. A. Korobov.

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Original Russian Text © A.A. Korobov, 2010, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2010, Vol. XIII, No. 3, pp. 58–67.

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Korobov, A.A. On pointwise complete pairs of linear transformations. J. Appl. Ind. Math. 5, 231–239 (2011). https://doi.org/10.1134/S1990478911020104

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