{"id":"W2054665920","doi":"10.1007/s10485-006-9012-0","title":"Bounded and Unitary Elements in Pro-C*-algebras","year":2006,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Bounded function; Direct limit; Bounded operator; Functor; Duality (order theory); Limit (mathematics); Commutative property; Categorical variable","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001767825,0.0002322262,0.0002934063,0.0001296085,0.0001274511,0.00006653168,0.000221158,0.0001343623,0.0001289585],"category_scores_gemma":[0.00007388001,0.0001912796,0.00002707254,0.0003920353,0.0001349998,0.0000828045,0.0001541399,0.0003776228,0.00001173964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001410921,"about_ca_system_score_gemma":0.00004399836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001115235,"about_ca_topic_score_gemma":0.0001976032,"domain_scores_codex":[0.9982258,0.00004432951,0.0003963588,0.0004046383,0.000417405,0.0005114766],"domain_scores_gemma":[0.9993194,0.0001999682,0.00006279352,0.0002761052,0.00003600945,0.0001057013],"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":[0.00003726097,0.00005474377,0.002662766,0.00004519259,0.00001166792,0.00002255833,0.0000782159,0.000008920912,0.00216542,0.9915553,0.0008388124,0.002519097],"study_design_scores_gemma":[0.0008179943,0.00002978398,0.01295666,0.000001024717,0.000008451108,0.00000995299,0.000124716,0.00004399957,0.003020023,0.9820181,0.0007502492,0.0002190788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9894441,0.0001189889,0.002386858,0.0001692964,0.00004465109,0.0006940917,0.000002861489,0.0001011479,0.00703798],"genre_scores_gemma":[0.9926708,0.000008512047,0.006822996,0.0001034133,0.0001111735,0.00009237711,0.00002074625,0.00003975166,0.0001301888],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01029389,"threshold_uncertainty_score":0.7800157,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.026534204734807,"score_gpt":0.3132524555293827,"score_spread":0.2867182507945757,"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."}}