Primariness of the Mixed-Norm Space $L_p(L_1)$
A Banach space is primary if in every decomposition into two complemented subspaces one summand is isomorphic to the whole. Lechner, Motakis, Müller and Schlumprecht identified the primariness of $L_p(L_1)$ as a prominent remaining open case; the paper proves it is primary for $1<p<\infty$.
Exact FrontierDelta
Scope and record
Occurred: Jul 19, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Primariness of the Mixed-Norm Space $L_p(L_1)$ · Primariness of $L_p(L_1)$
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Antonio Acuaviva
human · human collaborator
Pablo Acuaviva
human · human collaborator
ChatGPT 5.5 Pro
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Pablo Acuaviva
This event attributed to Antonio Acuaviva
This event attributed to ChatGPT 5.5 Pro