Atomic decomposition for preduals of some Banach spaces

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 s...

Full description

Bibliographic Details
Main Authors: Luigi D'Onofrio, Carlo Sbordone, Roberta Schiattarella
Format: Article
Language:English
Published: Sapienza Università Editrice 2020-06-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/265-274.pdf