{"id":"W4406151056","doi":"10.4153/s0008439524000560","title":"Embedding of some classes of operators into strongly continuous semigroups","year":2025,"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; Embedding; Toeplitz matrix; Semigroup; Operator (biology); Pure mathematics; Focus (optics); Operator theory; Quasinormal operator; Algebra over a field; Discrete mathematics; Finite-rank operator; Banach space","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":[0.001008622,0.0003873611,0.0002647531,0.000576487,0.0005860045,0.001318977,0.0004071384,0.0006282757,0.002454316],"category_scores_gemma":[0.002815696,0.0002602921,0.0004824398,0.0002499595,0.00200092,0.002083633,0.001578007,0.0009543753,0.0001978021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004668152,"about_ca_system_score_gemma":0.0004054538,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003327679,"about_ca_topic_score_gemma":0.0001724105,"domain_scores_codex":[0.9993213,0.0001924881,0.00003672015,0.0001293336,0.0002317914,0.00008829228],"domain_scores_gemma":[0.9982797,0.0006537918,0.0002782952,0.0001435766,0.0003008142,0.0003437428],"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":[0.0001770987,0.0001300367,0.002359164,0.00008217003,0.00002221696,0.0009229792,0.001421305,0.009630812,0.03505395,0.9381465,0.0004284345,0.01162527],"study_design_scores_gemma":[0.00008764159,0.0006838043,0.004297671,0.00004427355,0.0000297468,0.001402499,0.001643367,0.2663933,0.01719958,0.7004872,0.007685481,0.00004546278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7734522,0.0001764807,0.2111321,0.000481969,0.00007992882,0.00006676207,0.00004121043,0.0001049865,0.01446434],"genre_scores_gemma":[0.9796595,0.000107843,0.01550339,0.00004796311,0.00006130575,0.00004425789,0.0000357111,0.00002245689,0.00451753],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002454316,"threshold_uncertainty_score":0.00821048,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01327744496022594,"score_gpt":0.2814797040312714,"score_spread":0.2682022590710455,"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."}}