Abstract
Various refinements of Young’s inequality have been obtained by many authors. Based on one of those refinements we will construct a new operator inequality, which is obtained by generalizing the operator valued \(\alpha \)-divergence.
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Communicated by Roman Drnovsek.
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Tohyama, H., Kamei, E. & Watanabe, M. Operator valued inequalities based on Young’s inequality. Adv. Oper. Theory 8, 29 (2023). https://doi.org/10.1007/s43036-023-00257-x
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DOI: https://doi.org/10.1007/s43036-023-00257-x
Keywords
- Young’s inequality
- The operator valued \(\alpha \)-divergence
- The nth relative operator entropy
- The nth residual relative operator entropy