We prove that the symbol of the characteristic function of a minimal contractive lifting is an injective map and that the converse also holds, using explicit computation and functional models. We discuss when the characteristic function of a lifting is a polynomial and present a series representation for the characteristic functions of liftings
|Number of pages||23|
|Journal||Operators and Matrices|
|Publication status||Published - 30 Jun 2018|
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- Faculty of Business and Physcial Sciences, Department of Mathematics - Senior Lecturer
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