The band generated by homomorphisms on Banach lattices.
This paper will consider the closure of the set of operators which may be expressed as a sum of lattice homomorphisms whose range is contained in a Dedekind complete Banch lattice.
The centre of the spaces of Banach lattice-valued continuous functions on the generalized Alexandroff duplicate.
The order topology for function lattices and realcompactness.
The positive cone of a Banach lattice. Coincidence of topologies and metrizability
Let be a Banach lattice, and denote by its positive cone. The weak topology on is metrizable if and only if it coincides with the strong topology if and only if is Banach-lattice isomorphic to for a set . The weak topology on is metrizable if and only if is Banach-lattice isomorphic to a -space, where is a metrizable compact space.
Théorèmes de factorisation dans les espaces réticules
Theorems of the Stone-Weierstrass type for lattices of uniformly continuous functions.