A generalized Hölder-type inequalities for measurable operators

[摘要] We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017). This also provides a generalization of the unitarily invariant norm inequalities for matrix due to Bhatia–Kittaneh, Horn–Mathisa, Horn–Zhan and Zou under a cohyponormal condition.

[学科分类] 电力

[关键词] Measurable operator;Von Neumann algebra;Symmetric space;Hölder inequality