A Perron-Frobenius theorem for positive polynomial operators in Banach lattices

DOI10.1007/s11117-008-2247-2zbMath1197.47052OpenAlexW1991291700MaRDI QIDQ1041497

Nguyen Khoa Son, Duong Dang Xuan Thanh, The Anh Bui

Publication date: 2 December 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2247-2

zbMATH Keywords

stability radiuspositive operatorPerron-Frobenius theorem

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces

Cites Work

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• Robust stability of Metzler operator and delay equation in \(L^p([-h,0; X)\)]
• Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces
• Theorems of Perron-Frobenius type for matrices without sign restrictions
• Perron-Frobenius theory for complex matrices
• Extension of the Perron--Frobenius Theorem to Homogeneous Systems

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