A-numerical radius inequalities for semi-Hilbertian space operators

• Published in: Linear algebra and its applications Vol. 578; pp. 159 - 183
• Main Author: Zamani, Ali
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.10.2019; American Elsevier Company, Inc
• Subjects: A-adjoint operator; A-numerical radius; Commutators; Hilbert space; Inequality; Linear algebra; Lower bounds; Operators; Positive operator; Semi-inner product; Trigonometric functions; Upper bounds; secondary; Semi-inner product; A-numerical radius; A-adjoint operator; primary; Positive operator; Inequality

Let A be a positive bounded operator on a Hilbert space (H,〈⋅,⋅〉). The semi-inner product 〈x,y〉A:=〈Ax,y〉, x,y∈H induces a semi-norm ‖⋅‖A on H. Let ‖T‖A and wA(T) denote the A-operator semi-norm and the A-numerical radius of an operator T in semi-Hilbertian space (H,‖⋅‖A), respectively. In this paper...