S. M. Davarpanah, M. E. Omidvar, H. R. Moradi, “On some inequalities for $\tau$-measurable operators”, Пробл. анал. Issues Anal., 2020, том 9(27), выпуск 1,страницы 52

On some inequalities for $\tau$-measurable operators

S. M. Davarpanah^a, M. E. Omidvar^b, H. R. Moradi^b

^a Department of Mathematics, Ferdows Branch, Islamic Azad University, Ferdows, Iran
^b Mashhad Branch, Islamic Azad University, Mashhad, Iran

Аннотация: This paper deals with the Choi's inequality for measurable operators affiliated with a given von Neumann algebra. Some Young and Cauchy–Schwarz type inequalities for $\tau$-measurable operators are also given.

Ключевые слова: von Neumann algebra, positive operator, noncommutative $L_p$-space, Young inequality, Cauchy–Schwarz inequality.

УДК: 517.38, 512.6

MSC: Primary 47A30; Secondary 47L05, 47L50

Поступила в редакцию: 15.06.2019
Исправленный вариант: 24.08.2019
Принята в печать: 17.09.2019

Язык публикации: английский

DOI: 10.15393/j3.art.2020.6490