This research demonstrates new monotonicity properties for spectral radius in bounded sets of positive kernel operators, indicating new findings in mathematics.
We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel operators on L² L 2 . To our knowledge, several proved properties are new even in the finite dimensional case.
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Bogdanović et al. (2026) studied this question.
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