Open Access

# On mixing and completely mixing properties of positive $L^1$-contractions of finite real W* -algebras

### Abstract

We consider a non-commutative real analogue of Akcoglu and Sucheston's result about the mixing properties of positive L$^1$-contractions of the L$^1$-space associated with a measure space with probability measure. This result generalizes an analogous result obtained for the L$^1$-space associated with a finite (complex) W$^*$-algebras.

### Article Information

 Title On mixing and completely mixing properties of positive $L^1$-contractions of finite real W* -algebras Source Methods Funct. Anal. Topology, Vol. 16 (2010), no. 3, 259-263 MathSciNet MR2743590 Copyright The Author(s) 2010 (CC BY-SA)

### Authors Information

A. A. Rakhimov
Tashkent Institute of Railways and Engineering, Tashkent, Uzbekistan

H. Akin
Zirve University, Faculty of Education, Department of Mathematics, Gaziantep, Turkey

### Citation Example

A. A. Rakhimov and H. Akin, On mixing and completely mixing properties of positive $L^1$-contractions of finite real W* -algebras, Methods Funct. Anal. Topology 16 (2010), no. 3, 259-263.

### BibTex

@article {MFAT547,
AUTHOR = {Rakhimov, A. A. and Akin, H.},
TITLE = {On mixing and completely mixing properties of positive $L^1$-contractions of finite real W* -algebras},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {16},
YEAR = {2010},
NUMBER = {3},
PAGES = {259-263},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=547},
}