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math.FA2022
Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
Katarina Bogdanović, Aljoša Peperko
We prove new inequalities and equalities for the generalized and the joint spectral radius (and their essential versions) of Hadamard (Schur) geometric means of bounded sets of pos…
math.FA2022
On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
Vladimir Müller, Aljoša Peperko
Several spectral radii formulas for infinite bounded nonnegative matrices in max algebra are obtained. We also prove some Perron-Frobenius type results for such matrices. In partic…