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On some inequalities for $\tau$-measurable operators
S. M. Davarpanaha, M. E. Omidvarb, H. R. Moradib a Department of Mathematics, Ferdows Branch, Islamic Azad University,
Ferdows, Iran
b Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract:
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.
Keywords:
von Neumann algebra, positive operator, noncommutative $L_p$-space, Young inequality, Cauchy–Schwarz inequality.
Received: 15.06.2019 Revised: 24.08.2019 Accepted: 17.09.2019
Citation:
S. M. Davarpanah, M. E. Omidvar, H. R. Moradi, “On some inequalities for $\tau$-measurable operators”, Probl. Anal. Issues Anal., 9(27):1 (2020), 52–59
Linking options:
https://www.mathnet.ru/eng/pa287 https://www.mathnet.ru/eng/pa/v27/i1/p52
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