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Unitary couplings, scattering suboperators and regular factorizations of bounded operator‐valued functions III

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  • S. S. Boiko
  • V. K. Dubovoy

Abstract

The present part of the paper develops a geometrical approach to the study of factorizations of contractive operator functions in the class L∞. The proposed approach is based on the methods of the theory of unitary couplings elaborated in the previous sections of this article. This technique is related, first of all, to the concepts of a factorizing channel of a coupling and the factorization of the scattering suboperator of this coupling that it generates.

Suggested Citation

  • S. S. Boiko & V. K. Dubovoy, 2018. "Unitary couplings, scattering suboperators and regular factorizations of bounded operator‐valued functions III," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 1941-1978, September.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:13:p:1941-1978
    DOI: 10.1002/mana.201700285
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