Aperiodicity of positive operators that increase the support of functions

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Convergence is possible when considering positive operators in a Banach lattice, highlighting its impact on function support.
The absence of unimodular eigenvalues indicates no periodic behaviour in the powers of the operator T.
Observational analysis of lattice homomorphisms allows for insights into the function's support properties.
The findings suggest that understanding these operators is vital for advancements in mathematical function analysis.

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This analysis reveals that positive operators show convergence in function support patterns, suggesting no periodic behaviours occur.

Glück et al. (2025) studied this question.

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