{"id":"W4414361330","doi":"10.1016/j.jmaa.2025.130074","title":"C⁎-supports and abnormalities of operator systems","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Injective function; Subspace topology; Operator (biology); Property (philosophy); Hilbert space; Uniqueness; Extension (predicate logic); Envelope (radar)","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009525805,0.0004665462,0.0005212267,0.001813222,0.001079472,0.002192424,0.0009203219,0.0006942529,0.003181926],"category_scores_gemma":[0.004323822,0.0003896384,0.0007063631,0.0008459073,0.004019419,0.004073754,0.003642387,0.00260749,0.0003598049],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006311766,"about_ca_system_score_gemma":0.0003550715,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004242453,"about_ca_topic_score_gemma":0.0002315559,"domain_scores_codex":[0.9987527,0.0001806508,0.00007650912,0.0002203775,0.0005283894,0.0002413421],"domain_scores_gemma":[0.9967815,0.0008704152,0.0007477393,0.0004374939,0.0005059442,0.0006568391],"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":[0.00007758003,0.00001985735,0.001722569,0.00003453945,0.00001517098,0.0003396596,0.0007812853,0.001097583,0.004553509,0.9864311,0.0003844064,0.004542771],"study_design_scores_gemma":[0.00002618919,0.00007639693,0.002840156,0.00002480482,0.00001311727,0.0008650387,0.0005729748,0.01092459,0.004090513,0.9763065,0.004218858,0.00004085892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.903918,0.0004947361,0.06812866,0.0007267012,0.00007818259,0.00003526393,0.0002960945,0.00009723692,0.02622513],"genre_scores_gemma":[0.9889634,0.0001932516,0.007710821,0.00006078757,0.0001328213,0.000034951,0.0001775879,0.00003306526,0.002693328],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003181926,"threshold_uncertainty_score":0.01064461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01443129363475322,"score_gpt":0.2995801358075893,"score_spread":0.2851488421728361,"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."}}