Atomic decomposition for preduals of some Banach spaces

Autor: D'Onofrio, Luigi, Sbordone, Carlo, Schiattarella, Roberta
Přispěvatelé: D'Onofrio, Luigi, Sbordone, Carlo, Schiattarella, Roberta
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Rendiconti di Matematica e delle Sue Applicazioni, Vol 41, Iss 3-4, Pp 265-274 (2020)
ISSN: 2532-3350
1120-7183
Popis: Given a Banach space E with a supremum type norm induced by a sequence L=(Lj) of linear forms Lj: X→ R on the Banach space X, we prove that if the unit ball BX is σ(X, L)- compact then E has a predual E* with an atomic decomposition. We extend results from [7] where X is assumed a reflexive Banach space.
Databáze: OpenAIRE