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.

Full Text

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},
  MRNUMBER = {MR2667805},
       URL = {http://mfat.imath.kiev.ua/article/?id=526},
}