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.


Full Text





Article Information

TitleMaharam traces on von Neumann algebras
SourceMethods Funct. Anal. Topology, Vol. 16 (2010), no. 2, 101-111
MathSciNet MR2667805
CopyrightThe 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 


Google Scholar Metrics

Citing articles in Google Scholar
Similar articles in Google Scholar

Export article

Save to Mendeley



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},
}


All Issues