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Unitary couplings, scattering suboperators and regular factorizations of bounded operator‐valued functions III
Author(s) -
Boiko S. S.,
Dubovoy V. K.
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700285
Subject(s) - unitary state , factorization , mathematics , operator (biology) , unitary operator , coupling (piping) , class (philosophy) , pure mathematics , bounded function , algebra over a field , scattering , unitary matrix , mathematical analysis , algorithm , hilbert space , quantum mechanics , computer science , physics , repressor , artificial intelligence , law , chemistry , engineering , biochemistry , political science , transcription factor , mechanical engineering , gene
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.