Definition 15.1.11 (Disjoint).label Let $(E, \le)$ be a vector lattice and $x, y \in E$, then $x$ and $y$ are disjoint, denoted $x \perp y$, if $|x| \wedge |y| = 0$.
Definition 15.1.11 (Disjoint).label Let $(E, \le)$ be a vector lattice and $x, y \in E$, then $x$ and $y$ are disjoint, denoted $x \perp y$, if $|x| \wedge |y| = 0$.