{"id":"W2199663326","doi":"10.1016/j.jmaa.2012.05.060","title":"Subspaces of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> without the approximation property","year":2012,"lang":"lv","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Banach space; Linear subspace; Hilbert space; Mathematics; Sequence (biology); Space (punctuation); Exact sequence; Mathematical analysis; Pure mathematics; Computer science; Chemistry","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","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.005048564,0.001241718,0.0007989617,0.0009920262,0.002307989,0.001668327,0.003023361,0.002497332,0.3179248],"category_scores_gemma":[0.00357162,0.001881205,0.0034349,0.00254905,0.00286879,0.002312234,0.00206473,0.002549983,0.001527748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003237332,"about_ca_system_score_gemma":0.00138332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006347648,"about_ca_topic_score_gemma":0.001004162,"domain_scores_codex":[0.9867604,0.0008258524,0.003749765,0.001844298,0.00401051,0.002809168],"domain_scores_gemma":[0.9852792,0.003826099,0.005529996,0.003093992,0.0005227084,0.001747995],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001378148,0.001273745,0.00003407809,0.002810908,0.005530463,0.0002795456,0.003741249,0.002193988,0.004422727,0.8066268,0.1689651,0.002743278],"study_design_scores_gemma":[0.00220299,0.001491006,0.00009998445,0.001945864,0.009256913,0.001960487,0.005868923,0.07384492,0.8942318,0.004376009,0.002692638,0.002028488],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5269849,0.002816901,0.03128447,0.002453342,0.001185979,0.0001538931,0.0005403964,0.000273644,0.4343065],"genre_scores_gemma":[0.9763201,0.002020209,0.0140354,0.001022835,0.0025699,0.001895392,0.0006725361,0.0008987525,0.0005648945],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8898091,"threshold_uncertainty_score":0.9998448,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01990426417648713,"score_gpt":0.261189217263907,"score_spread":0.2412849530874198,"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."}}