Geodesic
The~Ideal of Compact Operators in Real Factors of Types~I and~II
Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 129-134

Voir la notice de l'article provenant de la source Math-Net.Ru

In the article we study the ideal of relatively compact operators in a real von Neumann factor. We prove a real analog of the Calkin theorem on the uniform closure and uniqueness of the ideal of relatively compact operators. In addition, we show that, unlike complex factors, in a real semifinite factor, up to isomorphism, there exist, in the discrete case, three, and, in the continuous case, two nonzero uniformly closed two-sided real ideals. 
@article{MT_2002_5_1_a8,
     author = {A. A. Rakhimov and A. A. Kats and R. A. Dadakhodjaev},
     title = {The~Ideal of {Compact} {Operators} in {Real} {Factors} of {Types~I} {and~II}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {129--134},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2002_5_1_a8/}
}
TY  - JOUR
AU  - A. A. Rakhimov
AU  - A. A. Kats
AU  - R. A. Dadakhodjaev
TI  - The~Ideal of Compact Operators in Real Factors of Types~I and~II
JO  - Matematičeskie trudy
PY  - 2002
SP  - 129
EP  - 134
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2002_5_1_a8/
LA  - ru
ID  - MT_2002_5_1_a8
ER  - 
%0 Journal Article
%A A. A. Rakhimov
%A A. A. Kats
%A R. A. Dadakhodjaev
%T The~Ideal of Compact Operators in Real Factors of Types~I and~II
%J Matematičeskie trudy
%D 2002
%P 129-134
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2002_5_1_a8/
%G ru
%F MT_2002_5_1_a8
A. A. Rakhimov; A. A. Kats; R. A. Dadakhodjaev. The~Ideal of Compact Operators in Real Factors of Types~I and~II. Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 129-134. http://geodesic.mathdoc.fr/item/MT_2002_5_1_a8/