Lebesgue decomposition for positive operators revisited
Functional Analysis
2024-03-01 v1
Abstract
We explain how Pusz--Woronowicz's idea of their functional calculus fits the theory of Lebesgue decomposition for positive operators on Hilbert spaces initially developed by Ando. In this way, we reconstruct the essential and fundamental part of the theory.
Cite
@article{arxiv.2305.15085,
title = {Lebesgue decomposition for positive operators revisited},
author = {Yoshiki Aibara and Yoshimichi Ueda},
journal= {arXiv preprint arXiv:2305.15085},
year = {2024}
}
Comments
13pages