Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 483-494

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

We obtain new necessary and sufficient commutation conditions for projections in terms of operator inequalities. These inequalities are applied for trace characterization on von Neumann algebras for the class of all positive normal functionals.
Keywords: projection, von Neumann algebra, Hilbert space, trace, commutation of operators, normal functional, linear bounded operator, operator inequality.
@article{MZM_2011_89_4_a0,
     author = {A. M. Bikchentaev},
     title = {Commutation of {Projections} and {Trace} {Characterization} on {von~Neumann} {Algebras.~II}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--494},
     publisher = {mathdoc},
     volume = {89},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a0/}
}
TY  - JOUR
AU  - A. M. Bikchentaev
TI  - Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II
JO  - Matematičeskie zametki
PY  - 2011
SP  - 483
EP  - 494
VL  - 89
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a0/
LA  - ru
ID  - MZM_2011_89_4_a0
ER  - 
%0 Journal Article
%A A. M. Bikchentaev
%T Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II
%J Matematičeskie zametki
%D 2011
%P 483-494
%V 89
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a0/
%G ru
%F MZM_2011_89_4_a0
A. M. Bikchentaev. Commutation of Projections and Trace Characterization on von~Neumann Algebras.~II. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 483-494. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a0/