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The class of Banach spaces which do not have \(c_0\) as a spreading model, is not \(L^2\)-hereditary. (English) Zbl 0518.46013

MSC:
46B20 Geometry and structure of normed linear spaces
46B25 Classical Banach spaces in the general theory
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References:
[1] A. Baernstein , On reflexivity and summability ; Studia Math. , t. 42 , 1972 , p. 91 - 94 . MR 305044 | Zbl 0228.46014 · Zbl 0228.46014 · eudml:217649
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[3] S. Guerre , La propriété de Banach-Saks ne passe pas de E à L2(E) ; Séminaire sur la géométrie des espaces de Banach , École Polytechnique. Numdam | Zbl 0454.46021 · Zbl 0454.46021 · numdam:SAF_1979-1980____A7_0 · eudml:109243
[4] S. Guerre , J.-Th. Lapresté , Quelques propriétés des modèles étalés sur les espaces de Banach , Ann. Inst. H. Poincaré , t. XVI , n^\circ 4 , 1980 , p. 339 - 347 Numdam | MR 603327 | Zbl 0454.46017 · Zbl 0454.46017 · numdam:AIHPB_1980__16_4_339_0 · eudml:77149
[5] J.-Th. Lapresté , Sur une propriété des suites asymptotiquement inconditionnelles, Séminaire sur la géométrie des espaces de Banach , École Polytechnique , 1978 / 1979 , exposé XXX . Numdam | MR 557382 | Zbl 0409.46019 · Zbl 0409.46019 · numdam:SAF_1978-1979____A26_0 · eudml:109212
[6] W. Schachermayer , The Banach-Saks property is not L2-hereditary , to appear in the Israel Journal . Zbl 0486.46021 · Zbl 0486.46021 · doi:10.1007/BF02761374
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