{"id":"W2606006772","doi":"10.4153/cmb-2017-023-1","title":"A Characterization of C<sup>*</sup>-normed Algebras via Positive Functionals","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Characterization (materials science); Normed algebra; Pure mathematics; Functional analysis; Algebra over a field; Discrete mathematics; Jordan algebra; Algebra representation; Chemistry; Nanotechnology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006642327,0.0002447026,0.0004451855,0.0001974326,0.0005107887,0.0001125639,0.0004272881,0.0001933272,0.01527323],"category_scores_gemma":[0.006323813,0.0002374674,0.0001632157,0.0001054648,0.0003310812,0.0001354584,0.0000702058,0.0001987606,0.003603175],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002653949,"about_ca_system_score_gemma":0.0003513581,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008414197,"about_ca_topic_score_gemma":0.0004976859,"domain_scores_codex":[0.9979771,0.0001008654,0.0006810253,0.0003578419,0.0004642014,0.0004189052],"domain_scores_gemma":[0.9969143,0.0008450638,0.0003772832,0.0009594678,0.0004509627,0.0004529105],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002146111,0.0007709583,0.0008046546,0.0009346612,0.0003946646,0.00004633536,0.002311453,0.00003145308,0.007661576,0.9717319,0.01139187,0.003705831],"study_design_scores_gemma":[0.001676091,0.0002342869,0.01680622,0.000532135,0.0002307189,0.0001005805,0.0002850119,0.00628447,0.004284932,0.9534305,0.0152535,0.0008815135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9146003,0.00001082885,0.02546895,0.01604775,0.0001659937,0.001262745,0.0006219757,0.00009141147,0.04173],"genre_scores_gemma":[0.9894129,0.000002064953,0.005292011,0.0003586843,0.0001620699,0.00009409744,0.0001433196,0.00005158751,0.00448325],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07481258,"threshold_uncertainty_score":0.9971727,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03041555902659565,"score_gpt":0.2642360065408621,"score_spread":0.2338204475142664,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}