Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operatorsBogdanović, Katarina (Avtor) Peperko, Aljoša (Avtor) Hadamard-Schur geometric meanHadamard-Schur productjoint and generalized spectral radiusessential spectral radiusmeasure of noncompactnesspositive kernel operatorsnon-negative matricesbounded sets of operatorsWe 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 positive kernel operators on Banach function spaces. In the case of nonnegative matrices that define operators on Banach sequences we obtain additional results. Our results extend results of several authors that appeared relatively recently.20232024-10-03 11:59:09Neznano20512sl