Non-commutative $L_p$-spaces associated with a Maharam trace
Non-commutative $L_p$-spaces $L^p(M,Φ)$ associated with the Maharam trace are defined and their dual spaces are described.
math.OA↗
arXiv subjects
Publications and source records attributed to Botir Zakirov.
Non-commutative $L_p$-spaces $L^p(M,Φ)$ associated with the Maharam trace are defined and their dual spaces are described.
Traces $Φ$ on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when $Φ$ is the Maharam trace. The version of Radon-Nikodym-type theorem for Maharam traces is established.