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math.FA2020
Preduals and double preduals of some Banach spaces
Luigi D'Onofrio, Gianluigi Manzo, Carlo Sbordone +1
In this paper we study ways to establish when a Banach space can be identified as the dual or the double dual of another Banach space. To obtain these results, we relate these spac…
math.FA2019
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces
Luigi D'Onofrio, Luigi Greco, Karl-Mikael Perfekt +2
Given a Banach space with a supremum-type norm induced by a collection of operators, we prove that is a dual space and provide an atomic decomposition of its predual. We ap…