Idempotent completions of operator partial matrices

DOI10.1007/BF02650728zbMath0934.47004MaRDI QIDQ1806292

Peter Rosenthal, Heydar Radjavi, Jin-Chuan Hou

Publication date: 10 April 2000

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

extension problemmatrix completion problemcompletions of operator partial matricesdilation problemidempotent dilationsidempotent extensions

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45) Dilations, extensions, compressions of linear operators (47A20) Equations involving linear operators, with operator unknowns (47A62) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Invertibility of operator matrices on a Banach space

Cites Work

• Completion of partial matrices to contractions
• Completion of operator partial matrices associated with chordal graphs
• Completions of matrices and the commutant lifting theorem
• The commutant lifting approach to interpolation problems
• Another approach to the strong Parrott theorem
• A note on Parrott's strong theorem
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Completion of operator partial matrices to square-zero contractions
• Completion of operator partial matrices to projections
• Norm inequalities of positive operator matrices
• On operator ranges
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• On the Strong Parrott Completion Problem
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