Statistical Ergodic Theorems for Markov Semigroups in Spaces with Mixed Norm

Document Type : Original Article

Authors

Inomjon Ganiev ¹

Sanobar Sadaddinova ²

Umarjon Ganiev ³

¹ Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, P.O. Box 10, 50728 Kuala-Lumpur, Malaysia

² Department of Mathematics, Tashkent University of Information Technologies , Tashkent, Uzbekistan

³ Department of Physics Fergana Medical College, Fergana, Uzbekistan

10.22034/kjm.2015.13163

Abstract

This paper describes the semigroups generated by the Markov processes in spaces with mixed norm and proves analogues of statistical ergodic theorems for such semigroups.

Keywords

Statistical ergodic theorem

Markov semigroup

mixed norm

Subjects

• 46 Functional analysis
• 47 Operator theory

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