Al- and am-spaces of integrable scalar functions with respect to a fr&#233chet-valued measure

Abstract

We study the question of determining conditions for the space of R-valued integrable functions with respect to a vector measure taking its values in a real Fréchet space to be an AL- or an AM-space*.

Keywords: Fréchet lattice, generalized AL-spaces, generalized AM-spaces, Köthe sequences spaces.

Quaestiones Mathematicae 23(2000), 247–258