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Compressions of Stable Contractions

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Abstract.

The stability of compressions of stable contractions is studied and a sufficient orbit condition is given. On the other hand, it is shown that there are non-stable compressions of the 1-dimensional backward shift and a complete characterization of weighted unilateral shifts with this property is provided. Dilations of bilateral weighted shifts to backward shifts are also considered.

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720, Szeged, Hungary

    László Kérchy

  2. Institute of Mathematics, Academy of Sciences of Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Vladimír Müller

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  1. László Kérchy
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  2. Vladimír Müller
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Correspondence to László Kérchy.

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Kérchy, L., Müller, V. Compressions of Stable Contractions. Integr. equ. oper. theory 58, 477–486 (2007). https://doi.org/10.1007/s00020-007-1500-6

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  • DOI: https://doi.org/10.1007/s00020-007-1500-6

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