2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165867Given a type I von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $S_0(M, τ)$ be the algebra of all $τ$-compact operators affiliated with $M.$ We give a complete description of all derivations on the algebra $S_0(M, τ).$ In particular, we prove that if $M$ is of type I$_\infty$ then every derivation on $S_0(M, τ)$ is spatial.19 pagesOperator AlgebrasFunctional Analysis46L57, 46L50, 46L55text