期刊
LOBACHEVSKII JOURNAL OF MATHEMATICS
卷 32, 期 3, 页码 175-179出版社
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1995080211030061
关键词
Algebra of matrices; functional calculus; positive functional; tracial functional; the Peierls-Bogoliubov inequality; von Neumann algebra; C*-algebra
类别
资金
- Russian Federal Agency of Science and Innovations [02.740.0193]
We prove that either of the Peierls-Bogoliubov and Araki-Lieb-Thirring inequalities characterizes the tracial functionals among all positive functionals on a C*-algebra. We also give the affirmative answer to the question of J. Zemanek.
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