• DOI:10.1007/s10476-022-0121-2
• Corpus ID: 229363874

Refined operator inequalities for relative operator entropies

@article{Wang2020RefinedOI,
  title={Refined operator inequalities for relative operator entropies},
  author={Shuzhou Wang and Zhenhua Wang},
  journal={Analysis Mathematica},
  year={2020},
  volume={48},
  pages={185-198}
}

• Shuzhou Wang, Zhenhua Wang
• Published 22 December 2020
• Mathematics
• Analysis Mathematica

We investigate the relative operator entropies in the more general settings of C *-algebras, real C *-algebras and JC-algebras. We show that all the operator inequalities on relative operator entropies still hold in these broader settings. In addition, we improve the lower and upper bounds of the relative operator ( α, β )-entropy established by Nikoufar in [15,17] which refined the bounds for the relative operator entropy obtained by Fujii and Kamei [7,8].