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Exponential ordering on bounded selfadjoint operators

1998
The paper deals with a version of the inequality \(e^{A}\leq e^{B}\) for bounded selfadjoint operators \(A\) and \(B\) in a Hilbert space \({\mathcal H}\). The version considered, called by the authors an infinitesimal exponential inequality, is the following: there is a positive real \(\kappa_{0}\) such that \(e^{\kappa A}\leq e^{\kappa B}\) for all \(
Tanahashi, Kôtarô, Yamagami, Shigeru
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