{"id":"W1989857842","doi":"10.1090/s0002-9939-08-09569-5","title":"On a class of ideals of the Toeplitz algebra on the Bergman space","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"University at Buffalo","keywords":"Toeplitz matrix; Ideal (ethics); Mathematics; Combinatorics; Unit sphere; Bergman space; Space (punctuation); Algebra over a field; Unit (ring theory); Class (philosophy); Ball (mathematics); Pure mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001090317,0.0002547039,0.0007187987,0.00001743258,0.000240439,0.00001061294,0.001138576,0.00007957634,0.00008204776],"category_scores_gemma":[0.002017363,0.0001125664,0.0007253169,0.000579526,0.002454999,0.00004427954,0.0002594455,0.0004121548,0.000010749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005521535,"about_ca_system_score_gemma":0.00005557145,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001183115,"about_ca_topic_score_gemma":2.726014e-7,"domain_scores_codex":[0.9979333,0.00005740257,0.000619632,0.0002381442,0.0008460751,0.0003054383],"domain_scores_gemma":[0.9962752,0.001800197,0.001074117,0.0005470387,0.0002373828,0.00006601447],"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":[0.00004872173,0.0004053461,0.0004337785,0.0003075733,0.0001461405,1.07344e-7,0.005601648,0.000001855691,0.01092674,0.9638479,0.01823023,0.00004998917],"study_design_scores_gemma":[0.0003401051,0.0003399942,0.001402111,0.0005686527,0.000143976,0.00001598465,0.006610698,0.0002892512,0.1117223,0.8782055,0.0001450767,0.0002164164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9771495,0.00001086025,0.00006389684,0.005084533,0.00002849928,0.0005631443,0.00001484599,0.0000300821,0.01705466],"genre_scores_gemma":[0.9958948,0.00002245017,0.00236548,0.0009821096,0.00003733135,0.00003127563,9.973819e-8,0.00004032425,0.0006261649],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1007955,"threshold_uncertainty_score":0.9045545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02833710395731774,"score_gpt":0.2676625569758743,"score_spread":0.2393254530185565,"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."}}