{"paper":{"title":"Spaces with the maximal projection constant revisited","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Tomasz Kobos","submitted_at":"2025-05-30T12:35:15Z","abstract_excerpt":"Let $n \\geq 2$ be an integer such that an equiangular set of vectors $w_1, \\ldots, w_d$ of the maximal possible cardinality (in relation to the the general Gerzon upper bound) exists in $\\mathbb{K}^n$, where $\\mathbb{K}=\\mathbb{R}$ or $\\mathbb{K}=\\mathbb{C}$ (i.e. $d=\\frac{n(n+1)}{2}$ in the real and $d=n^2$ in the complex case). We provide a complete characterization of $n$-dimensional normed spaces $X$ having a maximal absolute projection constant among all $n$-dimensional normed spaces over $\\mathbb{K}$. The characterization states that $X$ has a maximal projection constant if and only if i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24526","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.24526/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}