On \(q\)-commuting co-extensions and \(q\)-commutant lifting

DOI10.1016/J.LAA.2022.11.003OpenAlexW4308657637MaRDI QIDQ2104971

Prajakta Sahasrabuddhe, Bappa Bisai, Sourav Pal

Publication date: 8 December 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07213

zbMATH Keywords

\(q\)-commutant lifting\(q\)-commuting dilation\(q\)-commuting operators

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) Spectral sets of linear operators (47A25)

Cites Work

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• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Lifting intertwining operators
• Lifting commuting operators
• Unitary dilations for commuting contractions
• Anticommutant Lifting and Anticommuting Dilation
• $q$-commuting dilation
• On a generalization of Ando’s dilation theorem
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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