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Convergences in JW-algebras and in their enveloping von Neumann algebras

Abdusalom KarimovTashkent Institute of Textile and Light Industry, ul. Shakhzhakhon 5, Tashkent, 100100, Uzbekistan
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Abstract

We study properties of different convergences in JW-algebras with a faithful normal state. The relationship between these convergences and similar convergences in enveloping von Neumann algebras is established. Based on this, ergodic theorems are proved.

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