Banach lattices and infinite rigid sets.
Let be a non-zero positive vector of a Banach lattice , and let be a positive linear operator on with the spectral radius . We find some groups of assumptions on , and under which the inequalities hold. An application of our results gives simple upper and lower bounds for the spectral radius of a product of positive operators in terms of positive eigenvectors corresponding to the spectral radii of given operators. We thus extend the matrix result obtained by Johnson and Bru which...