Annals of Functional Analysis

On the Araki–Lieb–Thirring inequality in the semifinite von Neumann algebra

Yazhou Han

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Abstract

This paper extends a recent matrix trace inequality of Bourin–Lee to semifinite von Neumann algebras. This provides a generalization of the Lieb–Thirring-type inequality in von Neumann algebras due to Kosaki. Some new inequalities, even in the matrix case, are also given for the Heinz means.

Article information

Source
Ann. Funct. Anal., Volume 7, Number 4 (2016), 622-635.

Dates
Received: 15 December 2015
Accepted: 5 May 2016
First available in Project Euclid: 23 September 2016

Permanent link to this document
https://projecteuclid.org/euclid.afa/1474652186

Digital Object Identifier
doi:10.1215/20088752-3660864

Mathematical Reviews number (MathSciNet)
MR3550940

Zentralblatt MATH identifier
06667758

Subjects
Primary: 47A63: Operator inequalities
Secondary: 46L52: Noncommutative function spaces

Keywords
Araki–Lieb–Thirring inequality von Neumann algebra $\tau$-measurable operator

Citation

Han, Yazhou. On the Araki–Lieb–Thirring inequality in the semifinite von Neumann algebra. Ann. Funct. Anal. 7 (2016), no. 4, 622--635. doi:10.1215/20088752-3660864. https://projecteuclid.org/euclid.afa/1474652186


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