Weighted Inequalities For The Numerical Radius

Operator inequalities via the triangle inequality

“…This inequality has been used extensively in the literature when dealing with numerical radius inequalities, see [17] for example. Then for any 0…”

Inequalities and Reverse Inequalities for the Joint A-Numerical Radius of Operators

“…The quantities in (1) are also intensively studied when A = I, and the reader is referred to [12][13][14][15][16][17][18][19][20][21][22] as a recent list of references treating the numerical radius and operator norm of operators on complex Hilbert spaces.…”

Further numerical radius inequalities

“…The importance of this inequality is the way it approximates ω(A) in terms of A ; a more manageable quantity to compute than ω(A). Sharpening (1.1) and other inequalities for the numerical radius has been the interest of numerous researchers in the past few years; see [6,7,10,17,18,19,20,21,22] for example.…”