Weak$^*$-sequential properties of Johnson-Lindenstrauss spaces

27 Apr 2018 Avilés Antonio Martínez-Cervantes Gonzalo Rodríguez José

A Banach space $X$ is said to have Efremov's property ($\mathcal{E}$) if every element of the weak$^*$-closure of a convex bounded set $C \subseteq X^*$ is the weak$^*$-limit of a sequence in $C$. By assuming the Continuum Hypothesis, we prove that there exist maximal almost disjoint families of infinite subsets of $\mathbb{N}$ for which the corresponding Johnson-Lindenstrauss spaces enjoy (resp... (read more)

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  • FUNCTIONAL ANALYSIS