In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance obtained results is way they generalize many existing in literature; where certain values weights imply some known results, or refinements these results. end, present examples that show how our refine well literature, related to topic.

 ‎Using several examples of positive definite functions‎, ‎some inequalities for the numerical radius of‎ ‎matrices are investigated‎. ‎Also‎, ‎some open problems are stated‎.

We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...

A common problem encountered in recognizing signs in realscene images is the perspective deformation. In this paper, we employ a descriptor named Cross Ratio Spectrum for recognizing real scene signs. Particularly, this method will be applied in two different ways: recognizing a multi-component sign as an whole entity or recognizing individual components separately. For the second strategy, a g...

We determine the polarized gluon distribution ∆g(x) by a global analysis using current DIS and π0 asymmetry data. The π0 data from RHIC-Spin experiments provide a strong constraint on ∆g(x), so that its uncertainty is reduced. However, a sign problem appears in the analysis using π0 data, which means that positive and negative distributions are allowed for ∆g(x). These two types of solutions ar...

ABSTRAer. In Ihis note we discusa sorne results oit numerical radius altaining operators paralleling carlier results Oit norm attaining operatora. Eorarbitrary Banach spacesXand Y, the set of (bounded, linear) operatora from Xto Ywhose adjoints altain [heir norms is norm-dense ita [hespaee of ah operators. This theorem. due toW. Zizíer, improves an earlier result by J. Lindenstrauss on the dens...

Denote by w(A) the numerical radius of a bounded linear operator A acting on Hilbert space. Suppose that A is invertible and that w(A) ≤ 1+ε and w(A−1) ≤ 1+ε for some ε ≥ 0. It is shown that inf{‖A−U‖ : U unitary} ≤ cε for some constant c > 0. This generalizes a result due to J.G. Stampfli, which is obtained for ε = 0. An example is given showing that the exponent 1/4 is optimal. The more gener...

Abstract. We introduce a numerical radius operator space (X,Wn). The conditions to be a numerical radius operator space are weaker than the Ruan’s axiom for an operator space (X,On). Let w(·) be the numerical radius norm on B(H). It is shown that if X admits a norm Wn(·) on the matrix space Mn(X) which satisfies the conditions, then there is a complete isometry, in the sense of the norms Wn(·) ...

in this paper, formation of wrinkling in bimetal deep drawing process has been investigated by the analytical, numerical and experimental methods. the effects of width of flange, fillet radii of matrix and punch, clearance of blank holder, contact conditions and relative thickness of two sheets on the number and height of wrinkle waves are studied. clearance and contact conditions have the grea...