{"id":"W1883997936","doi":"10.1016/j.jfa.2017.02.017","title":"Non-commutativity of the exponential spectrum","year":2017,"lang":"en","type":"preprint","venue":"Journal of Functional Analysis","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Canada Research Chairs","keywords":"Spectrum (functional analysis); Sigma; Exponential function; Mathematics; Banach algebra; Commutative property; Homotopy; Group (periodic table); Pure mathematics; Combinatorics; Algebra over a field; Banach space; Physics; Mathematical analysis; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003302145,0.0007975016,0.001193615,0.001754324,0.002055351,0.004442034,0.001802351,0.002018024,0.01339631],"category_scores_gemma":[0.0096871,0.0008049196,0.001115612,0.0009185834,0.005848045,0.010367,0.002904011,0.002995706,0.001166929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008861088,"about_ca_system_score_gemma":0.000816568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005609112,"about_ca_topic_score_gemma":0.0004875405,"domain_scores_codex":[0.9979274,0.0004579084,0.0001447499,0.0006509624,0.0005365728,0.0002824069],"domain_scores_gemma":[0.9936402,0.003004079,0.0006036018,0.0009527688,0.001007821,0.0007914714],"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":[0.00001747639,0.00001600892,0.0001605791,0.00001873669,0.000005617989,0.00008805093,0.0001119008,0.0001379577,0.000667739,0.9970593,0.0004864244,0.001230207],"study_design_scores_gemma":[0.0000115156,0.000005933638,0.0001386515,0.000005981807,0.000003269824,0.0001681614,0.00003969634,0.002801758,0.0002091432,0.9960111,0.0005972799,0.000007511329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5126351,0.001991857,0.3445773,0.00762739,0.001370326,0.00006275906,0.0004080215,0.0004070935,0.1309201],"genre_scores_gemma":[0.9633394,0.0005727938,0.01687447,0.0008958733,0.0008963092,0.00005838464,0.000168189,0.0002500838,0.01694453],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01339631,"threshold_uncertainty_score":0.04481518,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05699313731500865,"score_gpt":0.3114878018117091,"score_spread":0.2544946644967004,"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."}}