Martingale ergodic processes in Jordan Banach algebras

M. A. Berdikulov

Tashkent Temir YO'L Muxandislari Instituti, Tashkent, Uzbekistan

Abstract: We prove martingale ergodic theorems for Jordan Banach algebras.

Key words: conditional expectation, Jordan algebra, martingale, almost everywhere convergence, Markov operator, trace.

UDC: 517.98+519.21

Received: 11.04.2011

 English version: Siberian Advances in Mathematics, 2013, 23:3, 175–179

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