{"id":"W3126256663","doi":"10.4153/s0008439521000060","title":"Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Toeplitz matrix; Hardy space; Unit circle; Toeplitz operator; Centralizer and normalizer; Pure mathematics; Hankel matrix; Bergman space; Space (punctuation); Unit (ring theory); Algebra over a field; Mathematical analysis; Linguistics; Mathematics education","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001261239,0.0004393551,0.000395489,0.001195691,0.0007674642,0.001636785,0.0005456755,0.0006345783,0.005094757],"category_scores_gemma":[0.002475057,0.0001969197,0.0003941326,0.0004976573,0.002048392,0.002614766,0.001137682,0.001040176,0.0004004696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003897251,"about_ca_system_score_gemma":0.0003242896,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001919421,"about_ca_topic_score_gemma":0.0001612273,"domain_scores_codex":[0.9991814,0.0001718395,0.00006189809,0.0001418926,0.0003228594,0.0001199089],"domain_scores_gemma":[0.9978886,0.0007739541,0.0003574626,0.0002162136,0.000408812,0.000354835],"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":[0.00008555248,0.00004875359,0.0008359071,0.00005356495,0.000008739011,0.0004809402,0.0007486466,0.0009552415,0.01446167,0.9773589,0.0003017479,0.004660393],"study_design_scores_gemma":[0.00004666516,0.0003081751,0.002113061,0.00004160662,0.00002166459,0.001748503,0.0008880842,0.04133693,0.01573673,0.9304351,0.007266098,0.00005753932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7976671,0.0005237975,0.1801316,0.0003198342,0.0001786288,0.00004720052,0.0001092043,0.0001398161,0.02088276],"genre_scores_gemma":[0.9865838,0.0001514266,0.008719241,0.00007631423,0.00009975184,0.00002432714,0.00003994004,0.00004030692,0.004264936],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005094757,"threshold_uncertainty_score":0.01704371,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02140294450562751,"score_gpt":0.2645934284957537,"score_spread":0.2431904839901262,"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."}}