{"id":"W2319186205","doi":"10.4153/cjm-2010-077-0","title":"Strong and Extremely Strong Ditkin sets for the Banach Algebras<i>A<sub>p</sub><sup>r</sup></i>(<i>G</i>) =<i>A</i><sub><i>p</i></sub>⋂<i>L</i><sup><i>r</i></sup>(<i>G</i>)","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Abelian group; Equivalence (formal languages); Combinatorics; Locally compact group; Locally compact space; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001061252,0.0002080147,0.0003573147,0.001389443,0.001020273,0.001618984,0.0004178289,0.0003586766,0.002932759],"category_scores_gemma":[0.002074687,0.0002989324,0.0005600695,0.0005260136,0.001893194,0.002923565,0.002318952,0.0008494354,0.0002090921],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001042282,"about_ca_system_score_gemma":0.0006066386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004027224,"about_ca_topic_score_gemma":0.0007852385,"domain_scores_codex":[0.9992478,0.000145135,0.000094843,0.0001656505,0.000263584,0.00008293429],"domain_scores_gemma":[0.9982048,0.0005931363,0.0002847151,0.0001584767,0.000511964,0.0002468597],"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":[0.00007511498,0.00001948865,0.001575426,0.00005270724,0.00001666615,0.0001135207,0.0005236097,0.001338617,0.006135213,0.9838901,0.0001832697,0.006076282],"study_design_scores_gemma":[0.00003505227,0.0001988249,0.004387626,0.00005529968,0.00004244262,0.0006720786,0.001392347,0.03133684,0.01536399,0.9341659,0.01229916,0.00005052689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8299252,0.0004312286,0.1453102,0.000295231,0.00006248146,0.00004654925,0.000164993,0.00009042062,0.02367366],"genre_scores_gemma":[0.9739807,0.0001149063,0.01996138,0.00006766321,0.0000266987,0.0000559327,0.0001211142,0.00001506198,0.005656526],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002932759,"threshold_uncertainty_score":0.009811044,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02571679736412271,"score_gpt":0.2642335743891704,"score_spread":0.2385167770250477,"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."}}