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

Authors

  • A. A. Rakhimov Tashkent Institute of Railways and Engineering, Tashkent, Uzbekistan
  • H. Akin Zirve University, Faculty of Education, Department of Mathematics, Gaziantep, Turkey

DOI:

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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.

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Published

2010-09-25

Issue

Vol. 16 No. 3 (2010)

Section

Articles

How to Cite

Rakhimov, A. A., and H. Akin. “On Mixing and Completely Mixing Properties of Positive $L^1$-Contractions of Finite Real W* -Algebras”. Methods of Functional Analysis and Topology, vol. 16, no. 3, Sept. 2010, pp. 259-63, https://zen.imath.kiev.ua/index.php/mfat/article/view/454.