Reverse inequality to Golden–Thompson type inequalities: Comparison of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-Reference-Cited by-同舟云学术

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Reverse inequality to Golden–Thompson type inequalities: Comparison of eA+B and eAeB

Published:2007-10 Issue:2-3 Volume:426 Page:312-316
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Bourin Jean-Christophe,Seo Yuki

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference13 articles.

1. On an inequality of Lieb and Thirring;Araki;Lett. Math. Phys.,1990

2. Matrix Analysis;Bhatia,1996

3. Reverse inequality to Araki’s inequality comparison of ApZpAp and (AZA)p;Bourin;Math. Inequal. Appl.,2005

4. Determinant for positive operators and Specht’s theorem;Fujii;Sci. Math.,1998

5. Kantorovich type inequalities for operator norm;Fujii;Math. Inequal. Appl.,2005

Cited by 3 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. Mode-Independent Switching Stabilizing Control for Continuous-Time Linear Markovian Switching Systems;IEEE Transactions on Automatic Control;2023-12

2. On reverses of the Golden-Thompson type inequalities;Journal of Mathematical Inequalities;2018

3. A Survey of the Matrix Exponential Formulae with Some Applications;Journal of Mathematical Study;2016-06

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