{"paper":{"title":"Strong Klee-And\\^o Theorems through an Open Mapping Theorem for cone-valued multi-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Miek Messerschmidt","submitted_at":"2016-06-01T12:08:59Z","abstract_excerpt":"A version of the classical Klee-And\\^o Theorem states the following: For every Banach space $X$, ordered by a closed generating cone $C\\subseteq X$, there exists some $\\alpha>0$ so that, for every $x\\in X$, there exist $x^{\\pm}\\in C$ so that $x=x^{+}-x^{-}$ and $\\|x^{+}\\|+\\|x^{-}\\|\\leq\\alpha\\|x\\|$.\n  The conclusion of the Klee-And\\^o Theorem is what is known as a conormality property.\n  We prove stronger and somewhat more general versions of the Klee-And\\^o Theorem for both conormality and coadditivity (a property that is intimately related to conormality). A corollary to our result shows that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00249","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}