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JOURNALS // Problemy Analiza — Issues of Analysis // Archive
Probl. Anal. Issues Anal., 2020 Volume 9(27), Issue 1, Pages 52–59 (Mi pa287)
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.

UDC: 517.38, 512.6

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

Received: 15.06.2019
Revised: 24.08.2019
Accepted: 17.09.2019

Language: English

DOI: 10.15393/j3.art.2020.6490



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