Spectral analysis of the one-speed transport operator and the functional model

DOI10.1007/BF02465204zbMath0948.47036OpenAlexW2067520102MaRDI QIDQ1974244

Yu. A. Kuperin, Serguei Naboko, Roman Romanov

Publication date: 19 November 2000

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

Full work available at URL: https://doi.org/10.1007/bf02465204

zbMATH Keywords

essential spectrumselfadjoint operatorspectral analysisdissipative operatorslinear transport operatorpurely absolutely continuousfunctional model of Sz.-Nagy and Foiaş

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (2)

Extreme eigenvalues of an integral operator ⋮ Solvability of the initial-boundary value problem for an integrodifferential equation

Cites Work

• Solution of the linearized Boltzmann transport equation for the slab geometry
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
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