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- W4299165462 abstract "Let $Psi _1, ldots Psi _m$ be bounded sets of positive kernel operators on a Banach function space $L$. We prove that for the generalized spectral radius $rho$ and the joint spectral radius $hat{rho}$ the inequalities $$rho left(Psi _1 ^{left( frac{1}{m} right)} circ cdots circ Psi _m ^{left( frac{1}{m} right)} right) le rho (Psi _1 Psi _2 cdots Psi _m) ^{frac{1}{m}},$$ $$hat{rho} left(Psi _1 ^{left( frac{1}{m} right)} circ cdots circ Psi _m ^{left( frac{1}{m} right)} right) le hat{rho} (Psi _1 Psi _2 cdots Psi _m) ^{frac{1}{m}}$$ hold, where $Psi _1 ^{left( frac{1}{m} right)} circ cdots circ Psi _m ^{left( frac{1}{m} right)}$ denotes the Hadamard (Schur) geometric mean of the sets $Psi _1, ldots , Psi _m$." @default.
- W4299165462 created "2022-10-02" @default.
- W4299165462 creator A5056871473 @default.
- W4299165462 date "2016-12-06" @default.
- W4299165462 modified "2023-09-26" @default.
- W4299165462 title "Bounds on the joint and generalized spectral radius of Hadamard geometric mean of bounded sets of positive kernel operators" @default.
- W4299165462 doi "https://doi.org/10.48550/arxiv.1612.01765" @default.
- W4299165462 hasPublicationYear "2016" @default.
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