A maximum entropy principle in the general framework of the band method

DOI10.1016/0022-1236(91)90029-5zbMath0728.47013OpenAlexW2039997001MaRDI QIDQ804918

Israel Gohberg, Hugo J. Woerdeman, Marinus A. Kaashoek

Publication date: 1991

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90029-5

zbMATH Keywords

band methodentropy principleextension problems

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General theory of topological algebras with involution (46K05)

Related Items (13)

Invertible completions of partial operator matrices: The nonsymmetric case ⋮ Extensions with positive real part. A new version of the abstract band method with applications ⋮ On some interrelations between the generalized Nehari problem for the Carathéodory class and prediction theory ⋮ The maximum principle for the three chains completion problem ⋮ Extensions of positive definite functions on free groups ⋮ An extension problem for discrete-time almost periodically correlated stochastic processes ⋮ Completion of operator partial matrices associated with chordal graphs ⋮ Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions ⋮ Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions ⋮ Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band ⋮ The band method and generalized Carathéodory-Toeplitz interpolation at operator points ⋮ EXTENSION OF BLOCK MATRIX REPRESENTATION OF THE GEOMETRIC MEAN ⋮ On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions

Cites Work

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• A maximum entropy principle for contractive interpolants
• Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case
• The maximum distance problem and band sequences
• The band method for positive and strictly contractive extension problems: An alternative version and new applications
• Extensions of matrix valued functions with rational polynomial inverses
• Extensions of band matrices with band inverses
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Extensions of kernels of Fredholm operators
• On factorization of operators relative to a discrete chain of projectors in Banach space

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