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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 7, Pages 56–62 (Mi ivm8911)

This article is cited in 5 papers

Commutator inequalities associated with polar decompositions of $\tau$-measurable operators

D. Dauitbekab, N. E. Tokmagambetovba, K. S. Tulenovba

a Institute of Mathematics and Mathematical Modeling, 28 Shevchenko str., Almaty, 050010 Republic og Kazakhstan
b Chair of Fundamental Mathematics, al-Farabi Kazakh National University, 71 al-Farabi Ave., Almaty, 050040 Republic of Kazakhstan

Abstract: We prove commutator inequalities associated with polar decompositions of $\tau$-measurable operators.

Keywords: $\tau$-measurable operator, noncommutative symmetric space, von Neumann algebra.

UDC: 517.98

Received: 01.01.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:7, 48–52

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