Tarcsay, Zsigmond Lebesgue decomposition via Riesz orthogonal decomposition. (English) Zbl 1374.28001 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 58, 111-114 (2015). Summary: The aim of this short note is to give a simple proof of the classical Lebesgue decomposition theorem of measures via the Riesz orthogonal decomposition theorem of Hilbert spaces. MSC: 28A12 Contents, measures, outer measures, capacities 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) Keywords:Lebesgue decomposition; Riesz orthogonal decomposition PDFBibTeX XMLCite \textit{Z. Tarcsay}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 58, 111--114 (2015; Zbl 1374.28001)