On the Strong Parrott Completion Problem

DOI10.2307/2159179zbMath0783.47022OpenAlexW4239055390MaRDI QIDQ4038380

Mihály Bakonyi, Hugo J. Woerdeman

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2159179

zbMATH Keywords

contractive solutionexistence of isometric, coisometric and unitary solutionsstrong Parrott problem

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Equations involving linear operators, with operator unknowns (47A62) Structure theory of linear operators (47A65)

Related Items

Completion of operator partial matrices to square-zero contractions, Operators on Anti-dual pairs: Self-adjoint Extensions and the Strong Parrott Theorem, Functional characterizations of trace spaces in Lipschitz domains, Parrott's theorem and bounded solutions of a system of operator equations, Idempotent completions of operator partial matrices, Completion of operator partial matrices to projections

Cites Work

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• Extensions of band matrices with band inverses
• The commutant lifting approach to interpolation problems
• A note on Parrott's strong theorem
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• A Strong Parrott Theorem
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds