Rank,covering number and a simple spectrum |
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Authors: | Iwona Filipowicz Jan Kwiatkowski |
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Affiliation: | (1) Instytut Matematyki WSP, ul. Chodkiewicza 30, 85-064 Bydgoszcz, Poland;(2) Instytut Matematyki UMK, ul. Chopina 12/18, 87-100 Toruń, Poland |
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Abstract: | For a dynamical system (X, B, T, μ) we investigate the connections between metric invariants, the rankr(T) and the covering numberF *(T) and a spectral property for having a simple spectrum. Given a positive integerr≥2, a real numberb, 0<b<1 such thatr·b≥1, we construct examples of systems withr(T)=r, F *(T)=b and having a simple spectrum. |
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