The present note is a revision of Ando’s work with the same title. We give a new construction for the Lebesgue-decomposition of positive operators on Hilbert spaces with respect to each other. Our approach is similar to that of Kosaki: we use unbounded operator techniques and factorizations via two auxiliary Hilbert spaces associated to the positive operators in question.
Positivity – Springer Journals
Published: Sep 16, 2012
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