{"id":"W2160501322","doi":"10.1090/s0002-9939-01-06054-3","title":"Complemented subspaces of products of Banach spaces","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Linear subspace; Banach space; Mathematics; Pure mathematics; Business","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":[],"consensus_categories":[],"category_scores_codex":[0.0008887689,0.0002583494,0.0009815349,0.00004455706,0.00007505049,0.00001018717,0.0007398362,0.00004594253,0.00006473124],"category_scores_gemma":[0.001568675,0.0001737383,0.0003849163,0.001119183,0.001776772,0.0001452147,0.0003253667,0.0001985382,0.000002232396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005247094,"about_ca_system_score_gemma":0.00003704679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002043662,"about_ca_topic_score_gemma":0.000001381896,"domain_scores_codex":[0.9978781,0.00002319427,0.0007366458,0.0002799072,0.0007099194,0.0003722238],"domain_scores_gemma":[0.9965103,0.0005455223,0.001911628,0.0003559786,0.000606617,0.00006995252],"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":[0.0002068752,0.001554516,0.01601265,0.005445808,0.0006638565,3.008199e-7,0.01055816,0.000006977642,0.3000128,0.6556165,0.009240244,0.000681332],"study_design_scores_gemma":[0.0006044067,0.0003271912,0.001662265,0.0005609897,0.0003153722,0.0000174887,0.02419272,0.0005704926,0.2367332,0.7343553,0.0003171072,0.0003434391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9923287,0.00005246579,0.001360241,0.001625028,0.00002064706,0.0005708191,0.00001327852,0.0000625574,0.003966266],"genre_scores_gemma":[0.8803917,0.00005346525,0.1190578,0.00004262894,0.00003460631,0.00001772261,4.539077e-7,0.00004104493,0.0003605448],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1176976,"threshold_uncertainty_score":0.7084843,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03106818140432347,"score_gpt":0.3113654241454525,"score_spread":0.280297242741129,"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."}}