Abstract
The paper contains characterizations of all rational matrix functions W(λ) which are contractions for every real λ and strict contractions at infinity. The results are obtained in terms of minimal realizations. A description of all minimal, unitary on the line completions of such functions is given. This description is used in the study of linear fractional decompositions of proper contractions W(λ).
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© 1988 Springer Basel AG
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Gohberg, I., Rubinstein, S. (1988). Proper Contractions and their Unitary Minimal Completions. In: Gohberg, I. (eds) Topics in Interpolation Theory of Rational Matrix-valued Functions. Operator Theory: Advances and Applications, vol 33. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5469-6_6
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DOI: https://doi.org/10.1007/978-3-0348-5469-6_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5471-9
Online ISBN: 978-3-0348-5469-6
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