Maharam traces on von Neumann algebras

Authors

  • B. S. Zakirov Department of Mathematics, National University of Uzbekistan, Vuzgorodok, Tashkent, 100174, Uzbekistan
  • V. I. Chilin Tashkent Railway Engineering Institute, 1 Odilhodjaev str., Tashkent, 100167, Uzbekistan 

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Abstract

Traces $\Phi$ 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 $\Phi$ is the Maharam trace. The version of Radon-Nikodym-type theorem for Maharam traces is established.

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Published

2010-06-25

Issue

Vol. 16 No. 2 (2010)

Section

Articles

How to Cite

Zakirov, B. S., and V. I. Chilin. “Maharam Traces on Von Neumann Algebras”. Methods of Functional Analysis and Topology, vol. 16, no. 2, June 2010, pp. 101-1, https://zen.imath.kiev.ua/index.php/mfat/article/view/443.