111 citations · 483 across the 43 of their papers we have counts for
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Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators
Yang Deng, Marcel de Jeu
A vector sublattice of the order bounded operators on a Dedekind complete vector lattice can be supplied with the convergence structures of order convergence, strong order converge…
Convergence structures and locally solid topologies on vector lattices of operators
Yang Deng, Marcel de Jeu
For vector lattices and , where is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid absolute strong operator to…
Vector lattices with a Hausdorff uo-Lebesgue topology
Yang Deng, Marcel de Jeu
We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of t…
Free vector lattices over vector spaces as function lattices
Marcel de Jeu
We show that a free vector lattice over a real vector space can be realised canonically as a vector lattice of real-valued positively homogeneous functions on any linear subspa…
Free vector lattices and free vector lattice algebras
Marcel de Jeu
We show how the existence of various free vector lattices and free vector lattice algebras can be derived from a theorem on equational classes in universal algebra. A discussion ab…