A contribution to the Frobenius theory of positive operators. Comparison theorems

@article{Marek1970ACT,
  title={A contribution to the Frobenius theory of positive operators. Comparison theorems},
  author={Ivo Marek},
  journal={Mathematical systems theory},
  year={1970},
  volume={4},
  pages={46-59}
}
The famous work of O. Perron [19] and G. Frobenius [5-7] on matrices with positive and nonnegative elements is still of high interest in modem mathematics. The mentioned papers have given rise to many generalizations of linear transformations in abstract linear spaces, e.g., the results of Birkhoff [1], Bonsall [2-4], Karlin [10], Krasnoselskii [11], Krein-Rutman [12], Niiro-Sawashima [18], Sawashima [20], Schaefer [23, 25, 27] and other authors. Most of the papers devoted to the Perron… CONTINUE READING
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