Jordan operator algebras
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 27 (1985), pp. 67-98
Cet article a éte moissonné depuis la source Math-Net.Ru
A survey of recent results in classification of $JW$-algebras (weakly closed Jordan algebras of self-adjoint operators in the Hilbert space) is given along with connections of $JW$-algebras with their enveloping $W^*$-algebras. It is shown how these results are applied in the proofs of analogs of many important results in the theory of $W^*$-algebras.
@article{INTD_1985_27_a2,
author = {Sh. A. Ayupov},
title = {Jordan operator algebras},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {67--98},
year = {1985},
volume = {27},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1985_27_a2/}
}
Sh. A. Ayupov. Jordan operator algebras. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 27 (1985), pp. 67-98. http://geodesic.mathdoc.fr/item/INTD_1985_27_a2/