2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173704We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (form) compact perturbations of self-adjoint, normal, and m-sectorial operators.24 pages, Sect. 3 extendedFunctional AnalysisSpectral Theory47A05, 47A07, 47A55Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applicationstext