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September 23, 2025Open Access

Almost uniform vs. pointwise convergence from a linear point of view

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Pointwise convergence of measurable functions identified distinct subspaces supporting different convergence modes.
Existence of significant vector subspaces demonstrates complexities in analyzing convergence approaches.
The review emphasizes algebraic structures inherent in related families of sequences of measurable functions.
Findings indicate potential overlaps in characteristics of nearly uniform and pointwise convergence methods.

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Review highlights convergence modes in sequences of measurable functions, suggesting structural insights.

Bernal-González et al. (2025) studied this question.

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