Yoshiki Aibara, Yoshimichi Ueda
Published 2023-05-24Version 1
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.
Extensions of positive operators and functionals
Embeddability of real and positive operators
Bishop-Phelps-Bollobás property for positive operators when the domain is $L_\infty $
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