{"id":"W2018499374","doi":"10.1007/s00233-013-9487-6","title":"Semigroups of partial isometries","year":2013,"lang":"en","type":"preprint","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Semigroup; Hilbert space; Pure mathematics; Unitary state; Special classes of semigroups; Self-adjoint operator; Space (punctuation); Operator (biology); Square-integrable function; Unitary operator; Bicyclic semigroup; Cancellative semigroup","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002252339,0.001055138,0.0008880172,0.002924597,0.002121431,0.004391723,0.001054017,0.001261751,0.009940402],"category_scores_gemma":[0.003935148,0.0005942083,0.001109067,0.001566303,0.003324737,0.00652709,0.002613945,0.002656806,0.001209014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001383074,"about_ca_system_score_gemma":0.000836958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003844773,"about_ca_topic_score_gemma":0.0003280475,"domain_scores_codex":[0.9985251,0.0004032434,0.00008982786,0.0003169966,0.0004749198,0.0001898309],"domain_scores_gemma":[0.9977562,0.0008230687,0.0002436757,0.000266081,0.0004243796,0.0004865525],"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":[0.00001497899,0.000007926143,0.00005911619,0.000015027,0.000002681746,0.000041574,0.0001574486,0.0001017666,0.0003421764,0.9963011,0.0006549141,0.00230138],"study_design_scores_gemma":[0.00001196564,0.000007547134,0.0000710366,0.000005233034,0.000002308851,0.00007776758,0.00004682765,0.0009121562,0.000165477,0.9958539,0.002840214,0.000005527887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2970183,0.006002896,0.4112443,0.008861545,0.00338833,0.0001615882,0.001254431,0.0009572363,0.2711114],"genre_scores_gemma":[0.8974522,0.002364142,0.05070059,0.0008563596,0.003032463,0.0001861427,0.0008311905,0.0002732827,0.04430351],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009940402,"threshold_uncertainty_score":0.03325403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05389358903809963,"score_gpt":0.3570923037310231,"score_spread":0.3031987146929235,"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."}}