2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225960Let $A$ be a partial *-algebra endowed with a topology $τ$ that makes it into a locally convex topological vector space $A[τ]$. Then $A$ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology $τ$ fits with the multiplier structure of $A$ Besides the obvious cases of topological quasi *-algebras and CQ*-algebras, we examine several classes of potential topological partial *-algebras, either function spaces (lattices of $L^p$ spaces on $[0,1]$ or on $\mathbb R$, amalgam spaces), or partial *-algebras of operators (operators on a partial inner product space, O*-algebras).Mathematical Physicstext