{"id":"W3022100704","doi":"10.1007/s11856-020-1985-0","title":"Strictly singular multiplication operators on ℒ(X)","year":2020,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Ministerio de Economía y Competitividad; Queen's University; Queen's University Belfast","keywords":"Mathematics; Multiplication (music); Factorization; Strictly singular operator; Pure mathematics; Operator (biology); Singularity; Algebra over a field; Operator theory; Multiplication operator; Finite-rank operator; Discrete mathematics; Banach space; Arithmetic; Quasinormal operator; Combinatorics; Hilbert space; Mathematical analysis; Algorithm","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006092308,0.0002267191,0.0005044425,0.0001223473,0.00007252279,0.00004113101,0.0004416733,0.00009412105,0.00003613472],"category_scores_gemma":[0.003117051,0.0001798045,0.0001847765,0.0002712361,0.00005601153,0.0001621369,0.00005375673,0.0004013514,0.00007088295],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009103907,"about_ca_system_score_gemma":0.0000671984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.855956e-7,"about_ca_topic_score_gemma":6.331138e-7,"domain_scores_codex":[0.9981217,0.00008197715,0.0008318269,0.0001470294,0.000595249,0.0002222462],"domain_scores_gemma":[0.9974068,0.0007854488,0.0009355805,0.0003334318,0.0003111206,0.0002275685],"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":[0.0002694577,0.002162831,0.0002547744,0.00105578,0.0004571573,0.0002549544,0.01590522,0.002147645,0.04393148,0.9166455,0.006791478,0.01012371],"study_design_scores_gemma":[0.005384154,0.002690582,0.00007869878,0.001278912,0.0006328883,0.0004876086,0.01752159,0.01734337,0.1072844,0.8355823,0.01041481,0.001300623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6302937,0.000196098,0.3627073,0.002875969,0.0001983727,0.0004175996,0.000008607029,0.0001172853,0.003185144],"genre_scores_gemma":[0.6785784,0.00003635474,0.3197875,0.001009594,0.0003883887,0.000003277887,7.775857e-7,0.00008335794,0.0001123208],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08106317,"threshold_uncertainty_score":0.7332214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05301757097204066,"score_gpt":0.3241589106694108,"score_spread":0.2711413396973702,"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."}}