Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773016 | Linear Algebra and its Applications | 2017 | 10 Pages |
Abstract
Let Ψ1,â¦,Ψm be bounded sets of positive kernel operators on a Banach function space L. We prove that for the generalized spectral radius Ï and the joint spectral radius ÏË the inequalitiesÏ(Ψ1(1m)ââ¯âΨm(1m))â¤Ï(Ψ1Ψ2â¯Î¨m)1m,ÏË(Ψ1(1m)ââ¯âΨm(1m))â¤ÏË(Ψ1Ψ2â¯Î¨m)1m hold, where Ψ1(1m)ââ¯âΨm(1m) denotes the Hadamard (Schur) geometric mean of the sets Ψ1,â¦,Ψm.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Aljoša Peperko,