An Extension of a Result by Talalyan on the Representation of Measurable Functions by Schauder Bases
Ben-Ami Braun · Proceedings of the American Mathematical Society · 1972
We define a class of Banach spaces which in particular include the ${L^p},1 \leqq p < \infty$, and the separable Orlicz spaces. We show that an arbitrary measurable function can be represented by a series of any Schauder basis chosen from that class of Banach spaces.