151. Some inequalities about Bourin's question in noncommutative Lp-spaces.
- Author
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Liu, Jinchen, He, Kan, and Liu, Liang
- Subjects
MATHEMATICS ,OPTIMISM ,VON Neumann algebras ,NONCOMMUTATIVE algebras - Abstract
This paper studies a question of Bourin on noncommutative $ L^p $ L p spaces. Some inequalities due to Hayajneh et al. [Norm inequalities for positive semidefinite matrices and a question of Bourin II. Int J Math. 2021;32:2150043] and Hayajneh et al. [Norm inequalities for positive semidefinite matrices and a question of Bourin III. Positivity. 2022;26:23] are extended to the case of operators in noncommutative $ L^p $ L p spaces associated with a semifinite von Neumann algebra. We give a partial answer to a question of Bourin on noncommutative $ L^p $ L p spaces. Some related submajorization inequalities are also given. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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