Inequalities on the essential joint and essential generalized spectral radiusLins, Brian (Avtor) Peperko, Aljoša (Avtor) mathematicsweighted Hadamard-Schur geometric meanHadamard-Schur productessential spectral radiusHaussdorf measure of noncompactnessjoint and generalized spectral radiuspositive kernel operatorsnon-negative matricesbounded sets of operatorsWe prove new inequalities for the essential generalized and the essential joint spectral radius of Hadamard (Schur) weighted geometric means of bounded sets of infinite nonnegative matrices that define operators on suitable Banach sequence spaces and of bounded sets of positive kernel operators on $L^2$. To our knowledge the obtained inequalities are new even in the case of singelton sets.20242025-01-31 12:33:56Neznano21408sl