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• W2072392893 abstract "Let K1,…,Kn be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f:[0,∞)×…×[0,∞)→[0,∞) of n variables, we define a non-negative matrix fˆ(K1,…,Kn) and consider the inequality r(fˆ(K1,…,Kn))⩽1nr(K1)+⋯+r(Kn), where r denotes the spectral radius. We find the largest function f for which this inequality holds for all K1,…,Kn. We also obtain an infinite-dimensional extension of the result of Cohen asserting that the spectral radius is a convex function of the diagonal entries of a non-negative matrix." @default.
• W2072392893 created "2016-06-24" @default.
• W2072392893 creator A5056871473 @default.
• W2072392893 creator A5060575349 @default.
• W2072392893 date "2010-07-01" @default.
• W2072392893 modified "2023-09-29" @default.
• W2072392893 title "On the spectral radius of positive operators on Banach sequence spaces" @default.
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• W2072392893 doi "https://doi.org/10.1016/j.laa.2010.02.020" @default.
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