On a connection between Naimark's dilation theorem, spectral representations, and characteristic functions

DOI10.1512/IUMJ.2011.60.4175zbMath1257.47014arXiv0910.4140OpenAlexW2963880891MaRDI QIDQ2898364

Mishko Mitkovski

Publication date: 11 July 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4140

zbMATH Keywords

characteristic functiongeneralized spectral measureNaĭmark's dilation theoremrank-one perturbations of a partial isometry

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Function theory on the disc (30J99)

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Matrix-valued Aleksandrov-Clark measures and Carathéodory angular derivatives

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