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For a positive projection $P$ on a Dedekind complete Banach lattice whose largest central operator below $P$ is $\alpha\,\mathrm{id}$, Wickstead conjectured $\alpha$ must be $0$ or $1/n$ for some natural $n$, and proved the finite-dimensional case. The paper proves the conjecture in general and settles the representation problem for Banach lattice algebras as a consequence.
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The acknowledgments thank Claude Opus 4.6 "for providing the details of 4.2" - a specific proposition's proof details. The problem had its own session at a February 2026 workshop on Banach lattices.
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VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
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VibeMath has not independently audited the mathematical statement, proof, or novelty claim.