Demonstrates the equivalence of subsymmetric basic sequences in variable exponent Lebesgue spaces, suggesting implications for functional analysis.
We study the subsymmetric basic sequence structure of variable exponent Lebesgue spaces L P built from index functions P : (0, ] on -finite m easure s paces (, , ).Specifically, we prove that if P is bounded away from infinity, t hen a ny complemented subsymmetric basic sequence of L P is equivalent to the canonical basis of r for some r 1 in the essential range of P .The paper that initiated the study of variable exponent Lebesgue spaces by basic sequence techniques was [11] (see also [10]).In it, the authors characterized in terms of the essential range of the variable exponent P the indices q [1, ) such that q isomorphically embeds
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BARASOAIN et al. (2026) studied this question.