{"id":"W4404286555","doi":"10.4153/s0008439524000626","title":"A note on the space of all Toeplitz operators","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Toeplitz matrix; Space (punctuation); Pure mathematics; Algebra over a field; Linguistics","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":[0.0008645238,0.0003862221,0.0004701113,0.00124729,0.001079622,0.001949429,0.0004611417,0.000531536,0.004358575],"category_scores_gemma":[0.001765264,0.0001455559,0.0004366872,0.0009530589,0.002965454,0.003167508,0.001646449,0.00156949,0.0003079115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005203758,"about_ca_system_score_gemma":0.0005266964,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001084652,"about_ca_topic_score_gemma":0.0006717507,"domain_scores_codex":[0.9994634,0.0001339303,0.00002859768,0.00008292907,0.0002141993,0.00007692878],"domain_scores_gemma":[0.9989861,0.0004650594,0.0001133308,0.00008866339,0.0001881479,0.0001587026],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001304939,0.000009513245,0.0001104292,0.00001771043,0.000002719447,0.0001021915,0.0001743132,0.0005117732,0.0009798235,0.9955655,0.0002419527,0.002271019],"study_design_scores_gemma":[0.000007741293,0.00004505879,0.0003547357,0.00001211936,0.000005269265,0.0001917768,0.0001948788,0.005361887,0.001101451,0.9875452,0.005170486,0.000009299594],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.7053183,0.004454302,0.1790024,0.002982519,0.0005482507,0.00003448627,0.0002536308,0.0001704499,0.1072355],"genre_scores_gemma":[0.9729599,0.00133849,0.01442746,0.0002521058,0.0003815694,0.00002243587,0.0001008501,0.00003728752,0.01047993],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.004358575,"threshold_uncertainty_score":0.01458091,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03283647510920761,"score_gpt":0.2809404280849827,"score_spread":0.248103952975775,"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."}}