Journal
LOBACHEVSKII JOURNAL OF MATHEMATICS
Volume 32, Issue 3, Pages 175-179Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1995080211030061
Keywords
Algebra of matrices; functional calculus; positive functional; tracial functional; the Peierls-Bogoliubov inequality; von Neumann algebra; C*-algebra
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Funding
- Russian Federal Agency of Science and Innovations [02.740.0193]
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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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