{"id":"W1983823887","doi":"10.1090/s0002-9939-07-08779-5","title":"On local irreducibility of the spectrum","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Irreducibility; Spectrum (functional analysis); Mathematics; Pure mathematics; Physics; Quantum mechanics","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.004410224,0.0004871111,0.001225608,0.00002943577,0.0003054313,0.00003723676,0.001741618,0.0002064446,0.0002211977],"category_scores_gemma":[0.002149599,0.0002649276,0.001517671,0.001167807,0.00638942,0.00008658425,0.0007700587,0.000968834,0.00004043639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003091197,"about_ca_system_score_gemma":0.0001358328,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003526648,"about_ca_topic_score_gemma":0.000001948645,"domain_scores_codex":[0.9959539,0.0000582379,0.001367624,0.000559894,0.001291086,0.0007692532],"domain_scores_gemma":[0.9951932,0.001583672,0.001808429,0.0008948282,0.0003203626,0.0001994709],"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":[0.0002915174,0.002426975,0.002585225,0.002763121,0.0004940989,4.684841e-7,0.01079638,0.000005857161,0.009418559,0.9609451,0.008920419,0.001352273],"study_design_scores_gemma":[0.0005750035,0.0004479095,0.00522229,0.001135139,0.000472961,0.00002422604,0.02219662,0.0009602925,0.1162042,0.8521915,0.0001261585,0.0004437359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.978355,0.00004505352,0.002339884,0.002522325,0.0001840916,0.0009052444,0.00003720297,0.00004618421,0.01556501],"genre_scores_gemma":[0.9940894,0.00002050572,0.004223971,0.0006811175,0.0001282364,0.00000927031,2.043176e-7,0.00007054184,0.0007767148],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1087536,"threshold_uncertainty_score":0.9999803,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0168237624395039,"score_gpt":0.2752120386178109,"score_spread":0.258388276178307,"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."}}