A proof via operator means of an order preserving inequality-Reference-Cited by-同舟云学术

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A proof via operator means of an order preserving inequality

Published:1989-02 Issue: Volume:113 Page:129-130
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Furuta Takayuki

Publisher

Elsevier BV

Subject

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

Reference4 articles.

1. A ⩾ B ⩾ 0 assures (BrApBr)1/q ⩾ B(p+2r)/q for r ⩾ 0, p ⩾ 0, q ⩾ 1with (1+2r)q ⩾ p + 2r;Furuta;Proc. Amer. Math. Soc.,1987

2. E. Kamei, Furuta's inequality via operator means, Math. Japon., to appear.

3. Means of positive linear operators;Kubo;Math. Ann.,1980

4. Some operator monotone functions;Pedersen;Proc. Amer. Math. Soc.,1972

Cited by 23 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. Order Preserving Operator Function via Furuta Inequality “A ≥ B ≥ 0 Ensures for $$ \left( {A^{\frac{r} {2}} A^P A^{\frac{r} {2}} } \right)^{\frac{{1 + r}} {{p + r}}} \geqslant \left( {A^{\frac{r} {2}} B^p A^{\frac{r} {2}} } \right)^{\frac{{1 + r}} {{p + r}}} $$ for p≥1 and r≥0”;Operator Theory and Interpolation;2000

2. A ≥ B ≥ 0 Ensures $${\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}} \geqslant {\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}}$$ for R ≥ 0, P ≥ 0, G ≥ 1 with (1 + R)Q ≥P + R and its Recent Appications;Analytic and Geometric Inequalities and Applications;1999

3. Characterization of chaotic order and its applications to furuta's type operator inequalities;Linear and Multilinear Algebra;1998-02

4. A decreasing operator function associated with the Furuta inequality;Proceedings of the American Mathematical Society;1998

5. Further extensions of aluthge transformation onp-hyponormal operators;Integral Equations and Operator Theory;1997-03

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