Generic existence and uniqueness of positive eigenvalues and eigenvectors

DOI10.1007/BF01202104zbMath0993.46008MaRDI QIDQ5953400

Zaslavski, Alexander J., Simeon Reich

Publication date: 16 September 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

positive operatorordered Banach spacePerron-Frobenius and Krein-Rutman theoremspositive eigenvalue

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered normed spaces (46B40)

Related Items (1)

Equivalent solutions of nonlinear equations in a topological vector space with a wedge

Cites Work

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• Generic convergence of infinite products of positive linear operators
• Convergence of generic infinite products of order-preserving mappings
• Perron-Frobenius theory for Banach spaces with a hyperbolic cone
• Hilbert’s projective metric and iterated nonlinear maps
• Convergence of generic infinite products of nonexpansive and uniformly continuous operators
• Optimal Programs on Infinite Horizon 1
• Dynamic properties of optimal solutions of variational problems

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