Results 91 to 100 of about 1,164 (138)
About instability in an elastic Cosserat body with pores
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.+2 more
doaj +1 more source
A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators
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
On the reverse Young and Heinz inequalities
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+2 more
semanticscholar +1 more source
A NOTE ON P-SYMMETRIC OPERATORS
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+3 more
semanticscholar +1 more source
Hermitian operators and convex functions [PDF]
Several inequalities for eigenvalues involving convex combinations and compressions are given. These inequalities are matrix version of the basic convexity inequality f((a+b)/2) < (f(a)+f(b))/2.
arxiv
Matrix Young numerical radius inequalities
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
A note on $l^2$ norms of weighted mean matrices [PDF]
We give a proof of Cartlidge's result on the $l^{p}$ operator norms of weighted mean matrices for $p=2$ on interpreting the norms as eigenvalues of certain matrices.
arxiv
Numerical radius inequalities associated with the Cartesian decomposition
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
On $l^2$ norms of some weighted mean matrices [PDF]
We give another proof of a result of Bennett on the $l^{p}$ operator norms of some weighted mean matrices for the case $p=2$ and we also present some related results.
arxiv
Improved reverse arithmetic-geometric means inequalities for positive operators on Hilbert space
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