Partially isometric dilations of noncommuting 𝑁-tuples of operators

DOI10.1090/S0002-9939-04-07547-1zbMath1068.47013arXivmath/0309398OpenAlexW1495102408MaRDI QIDQ4819732

David W. Kribs, Michael T. Jury

Publication date: 5 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309398

zbMATH Keywords

directed graphminimal dilationpartial isometryWold decompositionrow contraction

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (6)

Finitely correlated representations of product systems of \(C^{*}\)-correspondences over \(\mathbb N^k\) ⋮ Isomorphisms of algebras associated with directed graphs ⋮ Fock space techniques in tensor algebras of directed graphs ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ Minimal Cuntz--Krieger dilations and representations of Cuntz--Krieger algebras ⋮ Finite dimensional point derivations for graph algebras

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