Open Access

# Maharam traces on von Neumann algebras

### 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.

### Article Information

 Title Maharam traces on von Neumann algebras Source Methods Funct. Anal. Topology, Vol. 16 (2010), no. 2, 101-111 MathSciNet MR2667805 Copyright The Author(s) 2010 (CC BY-SA)

### Authors Information

V. I. Chilin
Department of Mathematics, National University of Uzbekistan, Vuzgorodok, Tashkent, 100174, Uzbekistan

B. S. Zakirov
Tashkent Railway Engineering Institute, 1 Odilhodjaev str., Tashkent, 100167, Uzbekistan

### Citation Example

V. I. Chilin and B. S. Zakirov, Maharam traces on von Neumann algebras, Methods Funct. Anal. Topology 16 (2010), no. 2, 101-111.

### BibTex

@article {MFAT526,
AUTHOR = {Chilin, V. I. and Zakirov, B. S.},
TITLE = {Maharam traces on von Neumann algebras},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {16},
YEAR = {2010},
NUMBER = {2},
PAGES = {101-111},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=526},
}