Factorization of operators in \(L^ 2(\)a,b)

DOI10.1007/BF01077486zbMath0499.47014MaRDI QIDQ1171741

Lev A. Sakhnovich

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

factorizationsingular integral operatorstriangular operatorsHilbert-Schmidt-operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on function spaces (general) (47B38) Integral equations with kernels of Cauchy type (45E05) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (1)

Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On the factorization of operators in a Banach space
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