Geodesic
Inequality for a Trace on a Unital $C^*$-Algebra
Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 483-488

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A new inequality for a trace on a unital $C^*$-algebra is established. It is shown that the inequality obtained characterizes the traces in the class of all positive functionals on a unital $C^*$-algebra. A new criterion for the commutativity of unital $C^*$-algebras is proved.
Keywords: unital $C^*$-algebra, positive functional, trace on a $C^*$-algebra. 
@article{MZM_2016_99_4_a0,
     author = {A. M. Bikchentaev},
     title = {Inequality for a {Trace} on a {Unital} $C^*${-Algebra}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--488},
     publisher = {mathdoc},
     volume = {99},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a0/}
}
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A. M. Bikchentaev. Inequality for a Trace on a Unital $C^*$-Algebra. Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 483-488. http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a0/