Statistical ergodic theorems in Jordan algebras

DOI10.1070/RM1981V036N06ABEH003105zbMath0511.47007OpenAlexW2057706859MaRDI QIDQ4748654

Shavkat A. Ayupov

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1981v036n06abeh003105

zbMATH Keywords

Jordan-Banach algebrasJBW-algebrasergodic theorems of Yosida and Kakutaniinvariant faithful finite tracesemigroup of stochastic operators

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Ergodic theory of linear operators (47A35) Markov semigroups and applications to diffusion processes (47D07) Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Jordan structures on Banach spaces and algebras (17C65)

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