{"paper":{"title":"Orthogonality and Disjointness in Spaces of Measures","license":"","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"P. Busch","submitted_at":"1998-04-03T15:12:33Z","abstract_excerpt":"The convex and metric structures underlying probabilistic physical theories are generally described in terms of base normed vector spaces. According to a recent proposal, the purely geometrical features of these spaces are appropriately represented in terms of the notion of `measure cone' and the `mixing distance' [1], a specification of the novel concept of `direction distance' [2]. It turns out that the base norm is one member of a whole characteristic family of `mc-norms' from which it can be singled out by virtue of a certain orthogonality relation. The latter is seen to be closely related"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9804005","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":""},"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"}