Convergences in JW-algebras and in their enveloping von Neumann algebras
Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 68-80
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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.
@article{MT_2008_11_1_a3,
author = {A. K. Karimov},
title = {Convergences in {JW-algebras} and in their enveloping von {Neumann} algebras},
journal = {Matemati\v{c}eskie trudy},
pages = {68--80},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2008_11_1_a3/}
}
A. K. Karimov. Convergences in JW-algebras and in their enveloping von Neumann algebras. Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 68-80. http://geodesic.mathdoc.fr/item/MT_2008_11_1_a3/