Unitary 𝑁-dilations for tuples of commuting matrices

DOI10.1090/S0002-9939-2012-11714-9zbMath1266.47021arXiv1105.2020OpenAlexW2072097451MaRDI QIDQ4908271

John E. McCarthy, Orr Moshe Shalit

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1105.2020

zbMATH Keywords

polynomialfinite dimensional spaceunitary dilationcommuting contraction

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Von Neumann’s inequality for commuting operator-valued multishifts ⋮ Dilation theory in finite dimensions: the possible, the impossible and the unknown ⋮ Dilation theory: a guided tour ⋮ Spectral sets and distinguished varieties in the symmetrized bidisc ⋮ Dilation theory in finite dimensions and matrix convexity

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• Extending positive definiteness
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• A generalization of Andô’s theorem and Parrott’s example

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