Abstract
If X is a real Banach space, then the inequality ξ≥‖x‖ defines so-called hyperbolic cone in E=ℝ⊕X. We develop a relevant version of Perron-Frobenius-Krein-Rutman theory.
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References
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Lyubich, Y. Perron-frobenius theory for Banach spaces with a hyperbolic cone. Integr equ oper theory 23, 232–244 (1995). https://doi.org/10.1007/BF01197538
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DOI: https://doi.org/10.1007/BF01197538