An elementary proof of the Birkhoff-Hopf theorem
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Publication:4697489
DOI10.1017/S0305004100072911zbMath0834.47028OpenAlexW1991050066MaRDI QIDQ4697489
Simon P. Eveson, Roger D. Nussbaum
Publication date: 1 April 1996
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004100072911
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Cites Work
- Unnamed Item
- Spectral clearance of a focussing operator
- The Cayley-Hilbert metric and positive operators
- Convergence of the age structure: applications of the projective metric
- Hilbert's metric and positive contraction mappings in a Banach space
- Asymptotic behavior of solutions of firstorder linear differential-delay equations
- An elementary proof of the Hopf inequality for positive operators
- Integro-differential delay equations of positive type
- Extensions of Jentzsch's Theorem
- Uniformly Semi-Primitive Multiplicative Processes
- Some Nonlinear Weak Ergodic Theorems
- Asymptotic Properties for Inhomogeneous Iterations of Nonlinear Operators
- New Directions in Linear Differential Equations
- Ergodic theorems in demography
- On the Projective Contraction Ratio for Positive Linear Mappings
- On a class of linear positive operators
- On positive matrices
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