Control and separating points of modular functions
Anna Avallone, Giuseppina Barbieri, Raffaella Cilia · Czech digital mathematics library · 1999
Let L be a complemented or sectionally complemented lattice and let X be a locally convex linear space.We prove the existence of an X-valued control for uniformly exhaustive sequences of X -valued modular functions on L.Moreover, if L is cr-complete, we prove that every countable family of cr-o.c.nonatomic group-valued modular functions on L admits separating points.