Results 51 to 60 of about 251 (77)

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

An extension of the Golden-Thompson theorem

, 2014
In this paper, we shall prove |treA+B|≤tr(|eA||eB|) for normal matrices A, B. In particular, treA+B≤tr(eAeB) if A, B are Hermitian matrices, yielding the Golden-Thompson inequality.MSC:15A16, 47A63, 15A45.
Hongyi Li, Di Zhao
semanticscholar   +1 more source

Eigenvalue inequalities related to the Ando-Hiai inequality

, 2017
In this paper, we show that if f is a doubly concave function on [0,∞) and 0 < sA B tA for some scalars 0 < s t with w = t/s , then for every k = 1,2, · · · ,n , λk( f (A) f (B)) w 1 4 +w− 1 4 2 λk( f (A B)), where A B = A 1 2 (A− 1 2 BA− 1 2 ) 1 2 A 1 2
M. Ghaemi, V. Kaleibary
semanticscholar   +1 more source

Numerical radius inequalities associated with the Cartesian decomposition

, 2015
We give several sharp numerical radius inequalities associated with the Cartesian decomposition of a Hilbert space operator A = B + iC . Among other inequalities, it is shown that 1 2 ‖ |B| + |C|‖ wr(A) ‖ |B| + |C|‖ for 0 < r 2 , where w(·) and ...
F. Kıttaneh
semanticscholar   +1 more source

Uncertainty relations for generalized metric adjusted skew information and generalized metric adjusted correlation measure

, 2013
In this paper, we give a Heisenberg-type or a Schrödinger-type uncertainty relation for generalized metric adjusted skew information or generalized metric adjusted correlation measure.
K. Yanagi, S. Furuichi, K. Kuriyama
semanticscholar   +1 more source

Improved reverse arithmetic-geometric means inequalities for positive operators on Hilbert space

, 2015
In this paper, employing induction on the given reverse Young inequalities, we obtain more reverse arithmetic-geometric means inequalities for two positive operators.
Hong-liang Zuo, Nan Cheng
semanticscholar   +1 more source

Scalar approximants of quadratic operators with applications

, 2018
Among other results, we find the best scalar approximant of a quadratic operator with respect to the numerical radius and the operator norm. We use these results to give estimates for the numerical radii of products and commutators of quadratic operators.
A. Abu-Omar, P. Wu
semanticscholar   +1 more source

Reverses of Ando's and Hölder-McCarty's inequalities. [PDF]

J Inequal Appl, 2018
Hajmohamadi M, Lashkaripour R, Bakherad M.   +2 more
europepmc   +1 more source

A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm. [PDF]

J Inequal Appl, 2018
Wu X.
europepmc   +1 more source

Some refinements of operator reverse AM-GM mean inequalities. [PDF]

J Inequal Appl, 2017
Xue J.
europepmc   +1 more source