caa a22 4500 467932042 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s00020-005-1365-5 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1365-5 Coupling and Relaxed Commutant Lifting [Elektronische Daten] [A. Frazho, S. Horst, M. Kaashoek] Abstract.: A Redheffer type description of the set of all contractive solutions to the relaxed commutant lifting problem is given. The description involves a set of Schur class functions which is obtained by combining the method of isometric coupling with results on isometric realizations. For a number of special cases, including the case of the classical commutant lifting theorem, the description yields a proper parameterization of the set of all contractive solutions, but examples show that, in general, the Schur class function determining the contractive lifting does not have to be unique. Also some sufficient conditions are given guaranteeing that the corresponding relaxed commutant lifting problem has only one solution. Birkhäuser Verlag, Basel, 2006 Commutant lifting nationallicence isometric coupling nationallicence isometric realization nationallicence parameterization nationallicence Frazho A. Department of Aeronautics and Astronautics, Purdue University, 47907, West Lafayette, IN, USA aut Horst S. Afdeling Wiskunde Faculteit der Exacte Wetenschappen, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands aut Kaashoek M. Afdeling Wiskunde Faculteit der Exacte Wetenschappen, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/1(2006-01-01), 33-67 0378-620X 54:1<33 2006 54 20 https://doi.org/10.1007/s00020-005-1365-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1365-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Frazho A. Department of Aeronautics and Astronautics, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 700 1- Horst S. Afdeling Wiskunde Faculteit der Exacte Wetenschappen, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Kaashoek M. Afdeling Wiskunde Faculteit der Exacte Wetenschappen, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/1(2006-01-01), 33-67 0378-620X 54:1<33 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer