The structure of the algebraic eigenspace to the spectral radius of eventually compact, nonnegative integral operators

DOI10.1016/0022-247X(82)90076-2zbMath0498.45007MaRDI QIDQ1171241

Harold Dean jun. Victory

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacesspectral radiuschainsalgebraic eigenspacesupportgeneralized eigenfunctionsnuclear reactor theoryeventually compact, nonnegative integral operatorsnon- negative kernelssignificant k-componentssource iteration method

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Transport processes in time-dependent statistical mechanics (82C70) Integral operators (45P05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Eigenvalue problems for integral equations (45C05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (8)

On principal \(T\)-bands in a Banach lattice ⋮ Positive root vectors ⋮ On nonnegative solvability of linear integral equations ⋮ On the Core of a Cone-Preserving Map ⋮ Peripheral spectrum of positive quasi-compact operators on \(C_0(X)\) ⋮ On nonnegative solvability of linear operator equations ⋮ On the invariant faces associated with a cone-preserving map ⋮ Linear equations over cones and Collatz-Wielandt numbers

Cites Work

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• Algebraic eigenspaces of nonnegative matrices
• Subcriticality for transport of multiplying particles in a slab
• REACTOR CRITICALITY IN TRANSPORT THEORY
• The Structure of a Positive Linear Integral Operator
• Solution to the critical problem for the neutron transport equation

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