Completeness of symmetric $\varDelta $-normed spaces of $\tau $-measurable operators
Jinghao HuangDepartment of Mathematics Sun Yat-Sen University Guangzhou, 510275, P.R. China Current address: School of Mathematics and Statistics University of New South Wales Kensington, NSW 2052, AustraliaGalina LevitinaSchool of Mathematics and Statistics University of New South Wales Kensington, NSW 2052, AustraliaFedor SukochevSchool of Mathematics and Statistics University of New South Wales Kensington, NSW 2052, Australia
2017en
ABI
Abstract
Let ${\mathcal M}$ be an arbitrary semifinite von Neumann algebra equipped with a faithful normal semifinite trace $\tau $ and let $E$ be a complete symmetric $\varDelta $-normed function space. We show that the corresponding symmetric space $E({\mathcal
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