Power and hölder type trace inequalities for positive operators in Hilbert spaces-Reference-Cited by-同舟云学术

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Power and hölder type trace inequalities for positive operators in Hilbert spaces

Published:2018-09 Issue:3 Volume:55 Page:383-406
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:Studia Scientiarum Mathematicarum Hungarica

Author:

Dragomir Silvestru Sever¹²

Affiliation:

1. Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

2. DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

Abstract

In this paper we obtain some new power and hölder type trace inequalities for positive operators in Hilbert spaces. As tools, we use some recent reverses and refinements of Young inequality obtained by several authors.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://akademiai.com/doi/pdf/10.1556/012.2018.55.3.1405

Reference30 articles.

1. Some Inequalities for Positive Definite Matrices

2. A Matrix Trace Inequality for Products of Hermitian Matrices

3. Inequalities for singular values and traces

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Choi–Davis–Jensen’s type trace inequalities for convex functions of self-adjoint operators in Hilbert spaces;Boletín de la Sociedad Matemática Mexicana;2020-07-08

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