On the triangular factorization of positive operators

DOI10.1007/BF02172806zbMath0935.47018OpenAlexW2022339902MaRDI QIDQ1963331

Alexander Pushnitski, Mikhail I. Belishev

Publication date: 10 April 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02172806

zbMATH Keywords

inverse problemstriangular factorizationBC-methodboundary control theoryamplitude integraloperator integral

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (1)

New notions and constructions of the boundary control method

Cites Work

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• An operator integral in a multidimensional spectral inverse problem
• Controllability in a filled domain for a multidimensional wave equation with the singular boundary control
• Equations of the Gel'fand-Levitan type in a multidimensional inverse problem for the wave equation
• Boundary control and canonical realizations of a two-velocity dynamical system
• Description of contraction operators which are similar to unitary operators
• Factorization problems and operator identities

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