Equivalent Norms in a Banach Function Space and the Subsequence Property

Jose M. Calabuig, Maite Fernández Unzueta, Fernando Galaz-Fontes +1

Given a finite measure space $(\Omega ,\Sigma ,\mu )$, we show that any Banach space $X(\mu )$ consisting of (equivalence classes of) real measurable functions defined on $\Omega$ such that $f χ_A \in X(…