Two variables functionals and inequalities related to measurable operators

Journal of inequalities and applications

Jingjing Shao¹ 

关键词: von Neumann algebra;    τ-measurable operators;    interpolated inequality;    Young inequality;    Heinz inequality;    46L52;    47A63;   

DOI  :  10.1186/s13660-017-1583-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well.

【 授权许可】

CC BY