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Wold Decompositions and the Unitary Model for Bi-isometries

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Abstract.

In this work we use the unitary model associated to a bi-isometry, which appears for the first time in [1] and was recently rediscovered in [2], to characterize the summands in the Wold decompositions of a bi-isometry and to give new proofs of such decomposition theorems.

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Authors and Affiliations

  1. University of the West Timişoara, Bul. V. Pârvan nr. 4, Timişoara, 1900, Romania

    Dumitru Gaşpar & Păstorel Gaşpar

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  1. Dumitru Gaşpar
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  2. Păstorel Gaşpar
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Correspondence to Dumitru Gaşpar or Păstorel Gaşpar.

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Gaşpar, D., Gaşpar, P. Wold Decompositions and the Unitary Model for Bi-isometries. Integr. equ. oper. theory 49, 419–433 (2004). https://doi.org/10.1007/s00020-002-1216-6

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  • DOI: https://doi.org/10.1007/s00020-002-1216-6

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