A note on Parrott's strong theorem

DOI10.1016/0022-247X(92)90390-YzbMath0782.47005OpenAlexW2002501411MaRDI QIDQ1206963

Dan Timotin

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90390-y

zbMATH Keywords

completion problem for a positive matrixstrong Parrott's theorem

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

Completion of operator partial matrices to square-zero contractions, Transfer-function realization for multipliers of the Arveson space, Bilinear matrix inequalities and polynomials in several freely noncommuting variables, Operators on Anti-dual pairs: Self-adjoint Extensions and the Strong Parrott Theorem, Parrott's theorem and bounded solutions of a system of operator equations, On the Strong Parrott Completion Problem, Idempotent completions of operator partial matrices, Completion of operator partial matrices to projections

Cites Work

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• On certain minimal entropy extensions appearing in dilation theory. I
• I. Schur methods in operator theory and signal processing
• Extensions of band matrices with band inverses
• Completions of matrices and the commutant lifting 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