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

✍ Scribed by S. S. Boiko; V. K. Dubovoy

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 288 KB
• Volume: 278
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200210297

✦ Synopsis

Abstract

In the paper bilateral shifts are studied which generate factorizations of unitary couplings (in the system theory they play the part of channels). Subspaces of L^2^(𝔎), reducing the multiplication operator by e^it^, are investigated in the channel language. New criteria for regular divisibility of contractive operator functions in the class L^∞^ are obtained. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)