Sequential convergences in a vector lattice. (English) Zbl 0903.46009

Jakubík, Ján

Math. Bohem. 123, No. 1, 33-48 (1998).

Summary: We deal with sequential convergences on a vector lattice \(L\) which are compatible with the structure of \(L\).

MSC:

46A40	Ordered topological linear spaces, vector lattices
46A19	Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)

Keywords:

vector lattice; sequential convergence; archimedean property; Brouwerian lattice