2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141163In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all L^0-linear derivations and L^{0}-linear *-automorphisms are inner. Moreover, it is proved that each L^0-linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial.Functional AnalysisOperator Algebras46L40, 46L57, 46L60, 47L60Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphismstext