bilattices

Noun

bilattice (plural bilattices)

1. A structure B = (S,⊑₁ ,⊑₂) in which S is a non-empty set, and ⊑₁ and ⊑₂ are partial orderings each giving S the structure of a lattice, determining thus for each of the two lattices the corresponding operations of meet and join.
   • We show that for a linear space of operators #123;#92;mathcalM#125;#92;subseteq#123;#92;mathcalB#125;(H#95;1,H#95;2) the following assertions are equivalent. (i) #123;#92;mathcalM#125; is reflexive in the sense of Loginov--Shulman. (ii) There exists an order-preserving map 1 on a bilattice...2015, Janko Bračič, Lina Oliveira, “A characterization of reflexive spaces of operators”, in arXiv