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The existence of a derived automorphism with a continuous spectrum

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Abstract

It is proved that every aperiodic automorphism of a Lebesgue space has a derived automorphism with a continuous spectrum.

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Literature cited

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Authors and Affiliations

  1. Leningrad Shipbuilding Institute, USSR

    R. M. Belinskaya

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  1. R. M. Belinskaya
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Translated from Matematicheskie Zametki, Vol. 3, No. 5, pp. 539–540, May, 1968.

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Belinskaya, R.M. The existence of a derived automorphism with a continuous spectrum. Mathematical Notes of the Academy of Sciences of the USSR 3, 343–344 (1968). https://doi.org/10.1007/BF01150986

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  • DOI: https://doi.org/10.1007/BF01150986

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