2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138469We consider a variant of the notion of Morita equivalence appropriate to weak* closed algebras of Hilbert space operators, which we call {\em weak Morita equivalence}. We obtain new variants, appropriate to the dual algebra setting, of the basic theory of strong Morita equivalence, and new nonselfadjoint variants of aspects of Rieffel's $W^*$-algebraic Morita equivalence.19 pages. Revised to include a more general framework yet, to which all of the results in the first version and most of the proofs, extend immediatelyOperator AlgebrasFunctional Analysistext