Hypercomplete Riesz spaces. (English) Zbl 0716.46008

Filter, Wolfgang

Atti Semin. Mat. Fis. Univ. Modena 38, No. 1, 227-240 (1990).

The author considers those Riesz spaces which are hypercomplete, i.e., which are Riesz isomorphic to bands of spaces of measures. He gives an internal definition of this concept and presents many properties of these spaces.

Reviewer: C.B.Huijsmans

MSC:

46A40	Ordered topological linear spaces, vector lattices
06F20	Ordered abelian groups, Riesz groups, ordered linear spaces

Keywords:

hypercomplete Riesz spaces; hc-pair; Riesz isomorphic to bands of spaces of measures

Citations:

Zbl 0716.46009