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- W1775886669 abstract "The classic result of Perron and Frobenius states that if $A$ and $B$ are matrices with nonnegative elements, such that $A leq B$, $A$ is irreducible, and $rho(A) = rho(B)$ then $A = B$. We extend this result to a large class of band irreducible positive operators on a large class of Banach lattices and provide examples to show that the conditions we put on operators and Banach lattices cannot be weakened." @default.
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- W1775886669 date "2012-05-24" @default.
- W1775886669 modified "2023-09-27" @default.
- W1775886669 title "Strong Monotonicity of Spectral Radius of Positive Operators" @default.
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