2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121957We set up an abstract framework that allows the investigation of Iwasawa decompositions for involutive infinite-dimensional Lie groups modeled on Banach spaces. As an application, we construct Iwasawa decompositions for classical real or complex Banach-Lie groups associated with the Schatten ideals ${\mathfrak S}_p({\mathcal H})$ on a complex separable Hilbert space ${\mathcal H}$ if $1<p<\infty$.25 pagesRepresentation TheoryDifferential GeometryFunctional AnalysisPrimary 22E65; Secondary 22E46,47B10,47L20,58B25text