Realization Theorems for Operator-Valued R-Functions
Conference paper
Abstract
In this paper we consider realization problems for operator-valued R-functions acting on a Hilbert space E (dim E < ∞) as linear-fractional transformations of the transfer operator-valued functions (characteristic functions) of linear stationary conservative dynamic systems (Brodskii-Livsic rigged operator colligations). We give complete proofs of both the direct and inverse realization theorems announced in [6], [7].
Keywords
Hilbert Space Spectral Function Regular Point Hermitian Operator Isometric Operator
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