Results 51 to 60 of about 798 (106)

More refinements of the operator reverse AM-GM inequality for positive linear maps

Journal of Mathematical Inequalities, 2019
This paper aims to present some operator inequalities for positive linear maps. These inequalities are refinements of the results presented by Xue in [J. Inequal. Appl. 2017:283, 2017]. Mathematics subject classification (2010): 47A30, 47A63.
Ilyas Ali, A. Shakoor, A. Rehman
semanticscholar   +1 more source

Convex multivariate operator means

, 2018
The dominant method for defining multivariate operator means is to express them as fix-points under a contraction with respect to the Thompson metric. Although this method is powerful, it crucially depends on monotonicity.
Hansen, Frank
core   +1 more source

Further improved Young inequalities for operators and matrices

, 2017
In this paper, we show some improvement of Young inequalities for operators and matrix versions for the Hilbert-Schmidt norm. On the basis of an operator equality, we prove intrinsic conclusion by means of a different method with others’ researches ...
Xia Zhao, Le Li, Hong-liang Zuo
semanticscholar   +1 more source

Power vector inequalities for operator pairs in Hilbert spaces and their applications

Open Mathematics
This study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla, Dragomir Silvestru Sever, Feki Kais   +2 more
doaj   +1 more source

Operator inequalities related to weak 2-positivity [PDF]

, 2012
In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua'
Jun Ichi Fujii, Mohammad Sal, Moslehian
core  

Cancellability and Regularity of Operator Connections [PDF]

, 2014
An operator connection is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above and the transformer inequality.
Chansangiam, Pattrawut
core  

Fundamental Hlawka-like inequalities for three and four vectors

, 2020
We investigate Hlawka-like inequalities for three vectors and determine necessary and sufficient conditions such that a1 3 ∑ i=1 ‖xi‖+a2 ∑ 1 i< j 3 ∥ xi + x j ∥ ∥+a3‖x1 + x2 + x3‖ 0 is satisfied for all x1,x2,x3 in a Hlawka space.
Marius Munteanu
semanticscholar   +1 more source

Characterization of operator convex functions by certain operator inequalities

Mathematical Inequalities & Applications, 2019
For λ ∈ (0,1) , let ψ be a non-constant, non-negative, continuous function on (0,∞) and let Γλ (ψ) be the set of all non-trivial operator means σ such that an inequality ψ(A∇λ B) ψ(A)σψ(B) holds for all A,B ∈ B(H)++ . Then we have: 1.
H. Osaka, Yukihiro Tsurumi, Shuhei Wada
semanticscholar   +1 more source

Additive refinements and reverses of Young's operator inequality with applications

Journal of Mathematical Inequalities, 2019
In this paper we obtain some new additive refinements and reverses of Young’s operator inequality. Applications related to the Hölder-McCarthy inequality for positive operators and for trace class operators on Hilbert spaces are given as well ...
S. Dragomir
semanticscholar   +1 more source

Accretive partial transpose matrices and their connections to matrix means

Open Mathematics
Accretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further properties of APT matrices in a way that extends some of those properties known ...
Aldabbas Eman, Sababheh Mohammad
doaj   +1 more source