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A remark on mixed \(L^ 2/L^{\infty}\) bounds

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Publication:1187749
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DOI10.1007/BF01204242zbMath0826.47012OpenAlexW2914882525MaRDI QIDQ1187749

Arthur E. Frazho, Mario A. Rotea

Publication date: 23 July 1992

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

Full work available at URL: https://doi.org/10.1007/bf01204242

zbMATH Keywords

Nehari problem\(L^ 2\) boundDym-Gohberg maximal entropy solutionKaftal-Larson-Weiss \(L^ 2/L^ \infty\) Nehari interpolation theorem


Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear operator methods in interpolation, moment and extension problems (47A57)


Related Items

Bounds on solutions to \(\mathcal H _ \infty\) algebraic Riccati equations and \(\mathcal H _ 2\) properties of \(\mathcal H _ \infty\) central solutions, Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions



Cites Work

  • Unnamed Item
  • A maximum entropy principle for contractive interpolants
  • The band method for positive and strictly contractive extension problems: An alternative version and new applications
  • The commutant lifting approach to interpolation problems
  • Minimum entropy \(H_{\infty}\) control
  • Quasitriangular subalgebras of semifinite von Neumann algebras are closed
  • Commutant Lifting and Simultaneous $H^\infty $ and $L^2 $ Suboptimization
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