{"id":"W1980475094","doi":"10.1007/s00020-005-1392-2","title":"Additive Maps Preserving Local Spectrum","year":2005,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Spectrum (functional analysis); Combinatorics; Banach space; Bounded function; Space (punctuation); Rank (graph theory); Bounded operator; Discrete mathematics; Physics; Mathematical analysis; Quantum mechanics","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":[0.001025953,0.001139906,0.001190879,0.002705232,0.001846211,0.003825601,0.001127851,0.001287238,0.006739107],"category_scores_gemma":[0.00165509,0.0006226544,0.001263494,0.001097122,0.002973587,0.00799425,0.005189383,0.003842854,0.001231665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009140961,"about_ca_system_score_gemma":0.0004289896,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003188614,"about_ca_topic_score_gemma":0.0003024369,"domain_scores_codex":[0.9991924,0.0001365175,0.00004121762,0.0001995601,0.0002766232,0.0001537442],"domain_scores_gemma":[0.9991012,0.0002358384,0.0001107386,0.0001499708,0.0001687985,0.0002335283],"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":[0.00001192554,0.0000172444,0.00003868867,0.00001337256,0.0000069434,0.00005323717,0.0001396199,0.0001361982,0.001226838,0.9958298,0.0002173655,0.002308885],"study_design_scores_gemma":[0.00001013804,0.00001901184,0.0001642367,0.000008198142,0.00001772723,0.0002053251,0.0001197144,0.001783525,0.001461893,0.9939058,0.002292559,0.00001190072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4580777,0.001853473,0.3121746,0.003021411,0.0009410949,0.00006923213,0.0001822391,0.0008058099,0.2228745],"genre_scores_gemma":[0.9190294,0.001115105,0.01973594,0.0006343237,0.0006918701,0.00005965336,0.0001097608,0.0003507902,0.0582732],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006739107,"threshold_uncertainty_score":0.02254456,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02723873707998511,"score_gpt":0.3097732425144431,"score_spread":0.282534505434458,"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."}}