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A note on the commutant lifting theorem and a generalized four block problem

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Publication:1175037
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DOI10.1007/BF01199910zbMath0738.47016MaRDI QIDQ1175037

Arthur E. Frazho

Publication date: 25 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

minimal isometric dilationsstrict contractionblock problem in control theoryclassical block Hankel operatorcontractive intertwining liftings


Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)




Cites Work

  • Unnamed Item
  • The commutant lifting approach to interpolation problems
  • On the parametrization of the suboptimal solutions in generalized interpolation
  • On the four block problem. II: The singular system
  • The general distance problem inH∞optimal control theory
  • Norm-Preserving Dilations and Their Applications to Optimal Error Bounds


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