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Arens algebras of measurable operators for Maharam traces


Abstract

We study order and topological properties of the non-commutative Arens algebra associated with arbitrary Maharam trace.

Key words: Non-commutative Arens algebra, Maharam trace, order topology.


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Article Information

TitleArens algebras of measurable operators for Maharam traces
SourceMethods Funct. Anal. Topology, Vol. 20 (2014), no. 2, 175-185
MathSciNet MR3242865
zbMATH 1313.46065
MilestonesReceived 22/10/2013
CopyrightThe Author(s) 2014 (CC BY-SA)

Authors Information

A. A. Alimov
Tashkent Islamic University, 11 Abdulla Qodiriy str., Tashkent, 100011, Uzbekistan 


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Citation Example

A. A. Alimov, Arens algebras of measurable operators for Maharam traces, Methods Funct. Anal. Topology 20 (2014), no. 2, 175-185.


BibTex

@article {MFAT717,
    AUTHOR = {Alimov, A. A.},
     TITLE = {Arens algebras of measurable operators for Maharam traces},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {20},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {175-185},
      ISSN = {1029-3531},
  MRNUMBER = {MR3242865},
 ZBLNUMBER = {1313.46065},
       URL = {http://mfat.imath.kiev.ua/article/?id=717},
}


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