{"id":"W2008069529","doi":"10.1155/s0161171203212035","title":"Toeplitz operators with BMO symbols and the Berezin transform","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Toeplitz matrix; Pure mathematics; Algebra over a field; Pseudodifferential operators; Toeplitz operator; Operator theory; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003734669,0.000175133,0.0004232759,0.00009059645,0.0001888342,0.0002601927,0.0004327001,0.00005349181,0.0001594986],"category_scores_gemma":[0.001079406,0.00007917784,0.00008084033,0.0001240261,0.001147885,0.0002499069,0.00004336464,0.000191179,0.000004310481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001893556,"about_ca_system_score_gemma":0.00009106024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000166158,"about_ca_topic_score_gemma":0.000003427982,"domain_scores_codex":[0.9981398,0.00009017924,0.0006338931,0.0001446234,0.0007974977,0.0001940183],"domain_scores_gemma":[0.997546,0.001672122,0.0002921443,0.0001186896,0.0002403402,0.0001307186],"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":[0.0000299571,0.0001381756,0.00004477575,0.00005488769,0.0001017691,0.0000160195,0.002842274,0.000001965314,0.00005431575,0.9959031,0.00008609887,0.0007266034],"study_design_scores_gemma":[0.00159441,0.0001753257,0.000009822549,0.0002963781,0.00009141667,0.001674289,0.004972764,0.0005300609,0.0007942661,0.989143,0.0005769943,0.0001412928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9214709,0.0004770805,0.04513811,0.004350701,0.0001861682,0.0004186825,0.000005780595,0.00001894991,0.02793364],"genre_scores_gemma":[0.9194806,0.0001768459,0.07985798,0.0002081101,0.00006132187,0.00000922447,1.054298e-7,0.00001487201,0.0001909636],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03471988,"threshold_uncertainty_score":0.4229431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0279899710048707,"score_gpt":0.3055399783590271,"score_spread":0.2775500073541564,"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."}}