About the Banach Envelope of l1,8

• Autores: Albrecht Pietsch
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 22, Nº 1, 2009, págs. 209-226
• Idioma: inglés
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• Resumen

  • We study the Banach envelope of the quasi-Banach space l1,8 consisting of all sequences x=(E k) with sn(x)=O(1/n), where (sn (x)) denotes the non-increasing rearrangement of x=(E k) The situation turns out to be much more complicated than that in the well-known case of the separable subspace lo1,8, whose members are characterized by sn(x) =o(1/n).