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Scalar operators equal to the product of unitary roots of the identity operator

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Ukrainian Mathematical Journal Aims and scope

We study the set of all γ ∈ ℂ for which there exist unitary operators U i such that U 1 U 2 . . . U n = γI and U i mi = I, where m i ∈ ℕ are given.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    Yu. S. Samoilenko & D. Yu. Yakimenko

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  1. Yu. S. Samoilenko
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  2. D. Yu. Yakimenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 6, pp. 819–825, June, 2012.

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Samoilenko, Y.S., Yakimenko, D.Y. Scalar operators equal to the product of unitary roots of the identity operator. Ukr Math J 64, 938–947 (2012). https://doi.org/10.1007/s11253-012-0689-y

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  • DOI: https://doi.org/10.1007/s11253-012-0689-y

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