Extensions of kernels of Fredholm operators

DOI10.1007/BF02786871zbMath0561.47041OpenAlexW1993369522MaRDI QIDQ2266432

Harry Dym, Israel Gohberg

Publication date: 1983

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786871

zbMATH Keywords

positive definitetriangular factorization

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (12)

Extensions with positive real part. A new version of the abstract band method with applications ⋮ On an interpolation problem of Dym and Gohberg ⋮ The maximum principle for the three chains completion problem ⋮ The band method for positive and strictly contractive extension problems: An alternative version and new applications ⋮ Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions ⋮ The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type ⋮ Hilbert spaces of analytic functions, inverse scattering and operator models. II ⋮ The band method and generalized Carathéodory-Toeplitz interpolation at operator points ⋮ A Grassmannian band method approach to the Nehari--Takagi problem ⋮ A maximum entropy principle in the general framework of the band method ⋮ A maximum entropy principle for contractive interpolants ⋮ Numerical solution of integral equations, fast algorithms and Krein- Sobolev equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extensions of matrix valued functions with rational polynomial inverses
• Stable factorization of operator polynomials. II: Main results and applications to Toeplitz operators
• Extensions of band matrices with band inverses
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Problem of search of the minimum of entropy in indeterminate extension problems
• An abstract version of a limit theorem of Szegoe
• Functional Equations in the Theory of Dynamic Programming--VII. A Partial Differential Equation for the Fredholm Resolvent
• On invertibility of finite sections of toeplitz matrices
• Lossless chain scattering matrices and optimum linear prediction: The vector case
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

This page was built for publication: Extensions of kernels of Fredholm operators