Results 61 to 70 of about 798 (106)

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

Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity

, 2005
Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.Comment: to appear in ...
Bourin, Jean-Christophe
core   +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

Noncommutative Chebyshev inequality involving the Hadamard product

, 2018
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba, Dragomir, Silvestru Sever   +1 more
core  

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

The generalized Tsallis relative operator entropy via solidarity

, 2016
In this paper, some operator inequalities related to the solidarity and the generalized Tsallis relative operator entropy are shown. As an application, we show the Shannon type operator inequalities and its reverse in terms of the generalized Tsallis ...
R. Mikić, J. Pečarić, I. Peric, Y. Seo   +3 more
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

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