Abstract
A number of useful inequalities, which are known for the trace on a separable Hilbert space, are extended to traces on von Neumann algebras. In particular, we prove the Golden rule, Hölder inequality, and some convexity statements.
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Battelle Fellow, 1970–1971.
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Ruskai, M.B. Inequalities for traces on von Neumann algebras. Commun.Math. Phys. 26, 280–289 (1972). https://doi.org/10.1007/BF01645523
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DOI: https://doi.org/10.1007/BF01645523