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Suppose $X$ is a locally solid vector lattice. It is known that there areseveral non-equivalent spaces of bounded operators on $X$. In this paper, weconsider some situations under which these classes of bounded operators formlocally solid vector lattices. In addition, we generalize some notions of$uaw$-Dunford-Pettis operators and $uaw$-compact operators defined on a Banachlattice to general theme of locally solid vector lattices. With the aid ofappropriate topologies, we investigate some relations between topological andlattice structures of these operators. In particular, we characterize thosespaces for which these concepts of operators and the corresponding classes ofbounded ones coincide.

Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices