Results 61 to 70 of about 227 (91)

On Berezin norm and Berezin number inequalities for sum of operators

Demonstratio Mathematica
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla, Feki Kais, Minculete Nicusor   +2 more
doaj   +1 more source

On k-quasi-M-hyponormal operators

, 2013
In this present article we introduce a new class of operators which we will be called the class of k -quasi-M -hyponormal operators that includes hyponormal an M -hyponormal operators.
S. Mécheri
semanticscholar   +1 more source

On the reverse Young and Heinz inequalities

, 2017
In this paper, we study further improvements of the reverse Young and Heinz inequalities for positive real numbers. We use these modified inequalities to obtain corresponding operator inequalities and matrix inequalities on the Hilbert–Schmidt norm ...
M. Ghaemi, Nahid Gharakhanlu, S. Furuichi   +2 more
semanticscholar   +1 more source

About instability in an elastic Cosserat body with pores

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This article is centered on the study of the isotropic, porous Cosserat elastic media, realized by means of a parallel with the media of the same type, but anisotropic, by following the rewriting in a new form of the equations that govern this theory ...
Codarcea-Munteanu L., Marin M., Abouelregal A. E.   +2 more
doaj   +1 more source

A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators

, 2017
Let A, à and B be bounded linear operators in a Hilbert space, and f (z) be a function regular on the convex hull of the union of the spectra of A and à . Let SN2 be the ideal of Hilbert-Schmidt operators.
M. Gil'
semanticscholar   +1 more source

A NOTE ON P-SYMMETRIC OPERATORS

, 2016
Let L(H) denote the algebra of operators on a complex infinite dimensional Hilbert space H into itself. In this paper, we study the class of operators A ∈ L(H) which satisfy the following property, AT = TA implies AT ∗ = T ∗A for all T ∈ C1(H) (trace ...
S. Bouali, M. Ech-Had, A. Zouaki, Y. Bouhafsi   +3 more
semanticscholar   +1 more source

Matrix Young numerical radius inequalities

, 2013
In the present paper, we show that if A ∈Mn(C) is a non scalar strictly positive matrix such that 1 ∈ σ(A) , and p > q > 1 with p + q = 1, then there exists X ∈ Mn(C) such that ω(AXA) > ω( p A pX + q XA q) .
A. Salemi, A. Sheikhhosseini
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. Kittaneh
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

Remarks on some singular value inequalities

, 2018
In this short note, we present new proofs for some singular value inequalities for matrices obtained by I. Garg and J. Aulja. Mathematics subject classification (2010): 47A30, 15A60.
Jianguo Zhao
semanticscholar   +1 more source